Highest Common Factor of 9619, 6357 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 9619, 6357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9619, 6357 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 9619, 6357 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 9619, 6357 is 1.
HCF(9619, 6357) = 1
HCF of 9619, 6357 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9619, 6357 is 1.
Highest Common Factor of 9619,6357 is 1
Step 1: Since 9619 > 6357, we apply the division lemma to 9619 and 6357, to get
9619 = 6357 x 1 + 3262
Step 2: Since the reminder 6357 ≠ 0, we apply division lemma to 3262 and 6357, to get
6357 = 3262 x 1 + 3095
Step 3: We consider the new divisor 3262 and the new remainder 3095, and apply the division lemma to get
3262 = 3095 x 1 + 167
We consider the new divisor 3095 and the new remainder 167,and apply the division lemma to get
3095 = 167 x 18 + 89
We consider the new divisor 167 and the new remainder 89,and apply the division lemma to get
167 = 89 x 1 + 78
We consider the new divisor 89 and the new remainder 78,and apply the division lemma to get
89 = 78 x 1 + 11
We consider the new divisor 78 and the new remainder 11,and apply the division lemma to get
78 = 11 x 7 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9619 and 6357 is 1
Notice that 1 = HCF(11,1) = HCF(78,11) = HCF(89,78) = HCF(167,89) = HCF(3095,167) = HCF(3262,3095) = HCF(6357,3262) = HCF(9619,6357) .
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Frequently Asked Questions on HCF of 9619, 6357 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 9619, 6357?
Answer: HCF of 9619, 6357 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9619, 6357 using Euclid's Algorithm?
Answer: For arbitrary numbers 9619, 6357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
