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HCF of 25, 75, 100 using Euclid's algorithm

HCF of 25, 75, 100 by Euclid's Divison lemma method can be determined easily by using our free online HCF using Euclid's Divison Lemma Calculator and get the result in a fraction of seconds ie., 25 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 25, 75, 100 is 25.

HCF(25, 75, 100) = 25

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

HCF of

Determining HCF of Numbers 25,75,100 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 25,75,100 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(25,75,100).

Here 75 is greater than 25

Now, consider the largest number as 'a' from the given number ie., 75 and 25 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 75 > 25, we apply the division lemma to 75 and 25, to get

75 = 25 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 25 and 75 is 25

Notice that 25 = HCF(75,25) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Here 100 is greater than 25

Now, consider the largest number as 'a' from the given number ie., 100 and 25 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 100 > 25, we apply the division lemma to 100 and 25, to get

100 = 25 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 25 and 100 is 25

Notice that 25 = HCF(100,25) .

Therefore, HCF of 25,75,100 using Euclid's division lemma is 25.

FAQs on HCF of 25, 75, 100 using Euclid's Division Lemma Algorithm

1. What is the HCF(25, 75, 100)?

The Highest common factor of 25, 75, 100 is 25 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 25, 75, 100 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 25, 75, 100 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 25, 75, 100 as 25.

3. Where can I get a detailed solution for finding the HCF(25, 75, 100) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(25, 75, 100) by Euclid's division lemma method on our page.