Highest Common Factor of 971, 615 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 971, 615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 971, 615 is 1 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 971, 615 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 971, 615 is 1.
HCF(971, 615) = 1
HCF of 971, 615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 971, 615 is 1.
Highest Common Factor of 971,615 is 1
Step 1: Since 971 > 615, we apply the division lemma to 971 and 615, to get
971 = 615 x 1 + 356
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 356 and 615, to get
615 = 356 x 1 + 259
Step 3: We consider the new divisor 356 and the new remainder 259, and apply the division lemma to get
356 = 259 x 1 + 97
We consider the new divisor 259 and the new remainder 97,and apply the division lemma to get
259 = 97 x 2 + 65
We consider the new divisor 97 and the new remainder 65,and apply the division lemma to get
97 = 65 x 1 + 32
We consider the new divisor 65 and the new remainder 32,and apply the division lemma to get
65 = 32 x 2 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 971 and 615 is 1
Notice that 1 = HCF(32,1) = HCF(65,32) = HCF(97,65) = HCF(259,97) = HCF(356,259) = HCF(615,356) = HCF(971,615) .
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Frequently Asked Questions on HCF of 971, 615 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 971, 615?
Answer: HCF of 971, 615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 971, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 971, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.