Highest Common Factor of 6359, 9727 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 6359, 9727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6359, 9727 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 6359, 9727 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 6359, 9727 is 1.
HCF(6359, 9727) = 1
HCF of 6359, 9727 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6359, 9727 is 1.
Highest Common Factor of 6359,9727 is 1
Step 1: Since 9727 > 6359, we apply the division lemma to 9727 and 6359, to get
9727 = 6359 x 1 + 3368
Step 2: Since the reminder 6359 ≠ 0, we apply division lemma to 3368 and 6359, to get
6359 = 3368 x 1 + 2991
Step 3: We consider the new divisor 3368 and the new remainder 2991, and apply the division lemma to get
3368 = 2991 x 1 + 377
We consider the new divisor 2991 and the new remainder 377,and apply the division lemma to get
2991 = 377 x 7 + 352
We consider the new divisor 377 and the new remainder 352,and apply the division lemma to get
377 = 352 x 1 + 25
We consider the new divisor 352 and the new remainder 25,and apply the division lemma to get
352 = 25 x 14 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 6359 and 9727 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(352,25) = HCF(377,352) = HCF(2991,377) = HCF(3368,2991) = HCF(6359,3368) = HCF(9727,6359) .
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Frequently Asked Questions on HCF of 6359, 9727 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 6359, 9727?
Answer: HCF of 6359, 9727 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6359, 9727 using Euclid's Algorithm?
Answer: For arbitrary numbers 6359, 9727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.