Highest Common Factor of 957, 96797 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 957, 96797 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 96797 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 957, 96797 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 957, 96797 is 1.
HCF(957, 96797) = 1
HCF of 957, 96797 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 96797 is 1.
Highest Common Factor of 957,96797 is 1
Step 1: Since 96797 > 957, we apply the division lemma to 96797 and 957, to get
96797 = 957 x 101 + 140
Step 2: Since the reminder 957 ≠ 0, we apply division lemma to 140 and 957, to get
957 = 140 x 6 + 117
Step 3: We consider the new divisor 140 and the new remainder 117, and apply the division lemma to get
140 = 117 x 1 + 23
We consider the new divisor 117 and the new remainder 23,and apply the division lemma to get
117 = 23 x 5 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
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 957 and 96797 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(117,23) = HCF(140,117) = HCF(957,140) = HCF(96797,957) .
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Frequently Asked Questions on HCF of 957, 96797 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 957, 96797?
Answer: HCF of 957, 96797 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 96797 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 96797 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
