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HCF of 35, 70 using Euclid's algorithm

HCF of 35, 70 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., 35 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 35, 70 is 35.

HCF(35, 70) = 35

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

HCF of

Determining HCF of Numbers 35,70 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 35,70 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(35,70).

Here 70 is greater than 35

Now, consider the largest number as 'a' from the given number ie., 70 and 35 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 70 > 35, we apply the division lemma to 70 and 35, to get

70 = 35 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 35 and 70 is 35

Notice that 35 = HCF(70,35) .

Therefore, HCF of 35,70 using Euclid's division lemma is 35.

HCF using Euclid's Algorithm Calculation Examples

FAQs on HCF of 35, 70 using Euclid's Division Lemma Algorithm

1. What is the HCF(35, 70)?

The Highest common factor of 35, 70 is 35 the largest common factor that exactly divides two or more numbers with remainder 0.


2. How do you find HCF of 35, 70 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 35, 70 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 35, 70 as 35.


3. Where can I get a detailed solution for finding the HCF(35, 70) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(35, 70) by Euclid's division lemma method on our page.