Highest Common Factor of 617, 964 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 617, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 617, 964 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 617, 964 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 617, 964 is 1.
HCF(617, 964) = 1
HCF of 617, 964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 617, 964 is 1.
Highest Common Factor of 617,964 is 1
Step 1: Since 964 > 617, we apply the division lemma to 964 and 617, to get
964 = 617 x 1 + 347
Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 347 and 617, to get
617 = 347 x 1 + 270
Step 3: We consider the new divisor 347 and the new remainder 270, and apply the division lemma to get
347 = 270 x 1 + 77
We consider the new divisor 270 and the new remainder 77,and apply the division lemma to get
270 = 77 x 3 + 39
We consider the new divisor 77 and the new remainder 39,and apply the division lemma to get
77 = 39 x 1 + 38
We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get
39 = 38 x 1 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 617 and 964 is 1
Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(77,39) = HCF(270,77) = HCF(347,270) = HCF(617,347) = HCF(964,617) .
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Frequently Asked Questions on HCF of 617, 964 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 617, 964?
Answer: HCF of 617, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 617, 964 using Euclid's Algorithm?
Answer: For arbitrary numbers 617, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.