Highest Common Factor of 715, 195, 637 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 715, 195, 637 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 715, 195, 637 is 13 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 715, 195, 637 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 715, 195, 637 is 13.
HCF(715, 195, 637) = 13
HCF of 715, 195, 637 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 715, 195, 637 is 13.
Highest Common Factor of 715,195,637 is 13
Step 1: Since 715 > 195, we apply the division lemma to 715 and 195, to get
715 = 195 x 3 + 130
Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 130 and 195, to get
195 = 130 x 1 + 65
Step 3: We consider the new divisor 130 and the new remainder 65, and apply the division lemma to get
130 = 65 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 65, the HCF of 715 and 195 is 65
Notice that 65 = HCF(130,65) = HCF(195,130) = HCF(715,195) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 637 > 65, we apply the division lemma to 637 and 65, to get
637 = 65 x 9 + 52
Step 2: Since the reminder 65 ≠ 0, we apply division lemma to 52 and 65, to get
65 = 52 x 1 + 13
Step 3: We consider the new divisor 52 and the new remainder 13, and apply the division lemma to get
52 = 13 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 65 and 637 is 13
Notice that 13 = HCF(52,13) = HCF(65,52) = HCF(637,65) .
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Frequently Asked Questions on HCF of 715, 195, 637 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 715, 195, 637?
Answer: HCF of 715, 195, 637 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 715, 195, 637 using Euclid's Algorithm?
Answer: For arbitrary numbers 715, 195, 637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.