HCF of 5, 7 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., 1 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 5, 7 is 1.
HCF(5, 7) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
Below detailed show work will make you learn how to find HCF of 5,7 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(5,7).
Here 7 is greater than 5
Now, consider the largest number as 'a' from the given number ie., 7 and 5 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 7 > 5, we apply the division lemma to 7 and 5, to get
7 = 5 x 1 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 7 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) .
Therefore, HCF of 5,7 using Euclid's division lemma is 1.
1. What is the HCF(5, 7)?
The Highest common factor of 5, 7 is 1 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 5, 7 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 5, 7 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 5, 7 as 1.
3. Where can I get a detailed solution for finding the HCF(5, 7) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(5, 7) by Euclid's division lemma method on our page.