Highest Common Factor of 6327, 9935 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 6327, 9935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6327, 9935 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 6327, 9935 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 6327, 9935 is 1.
HCF(6327, 9935) = 1
HCF of 6327, 9935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6327, 9935 is 1.
Highest Common Factor of 6327,9935 is 1
Step 1: Since 9935 > 6327, we apply the division lemma to 9935 and 6327, to get
9935 = 6327 x 1 + 3608
Step 2: Since the reminder 6327 ≠ 0, we apply division lemma to 3608 and 6327, to get
6327 = 3608 x 1 + 2719
Step 3: We consider the new divisor 3608 and the new remainder 2719, and apply the division lemma to get
3608 = 2719 x 1 + 889
We consider the new divisor 2719 and the new remainder 889,and apply the division lemma to get
2719 = 889 x 3 + 52
We consider the new divisor 889 and the new remainder 52,and apply the division lemma to get
889 = 52 x 17 + 5
We consider the new divisor 52 and the new remainder 5,and apply the division lemma to get
52 = 5 x 10 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6327 and 9935 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(52,5) = HCF(889,52) = HCF(2719,889) = HCF(3608,2719) = HCF(6327,3608) = HCF(9935,6327) .
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Frequently Asked Questions on HCF of 6327, 9935 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 6327, 9935?
Answer: HCF of 6327, 9935 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6327, 9935 using Euclid's Algorithm?
Answer: For arbitrary numbers 6327, 9935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.