Highest Common Factor of 6344, 5337 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 6344, 5337 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6344, 5337 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 6344, 5337 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 6344, 5337 is 1.
HCF(6344, 5337) = 1
HCF of 6344, 5337 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6344, 5337 is 1.
Highest Common Factor of 6344,5337 is 1
Step 1: Since 6344 > 5337, we apply the division lemma to 6344 and 5337, to get
6344 = 5337 x 1 + 1007
Step 2: Since the reminder 5337 ≠ 0, we apply division lemma to 1007 and 5337, to get
5337 = 1007 x 5 + 302
Step 3: We consider the new divisor 1007 and the new remainder 302, and apply the division lemma to get
1007 = 302 x 3 + 101
We consider the new divisor 302 and the new remainder 101,and apply the division lemma to get
302 = 101 x 2 + 100
We consider the new divisor 101 and the new remainder 100,and apply the division lemma to get
101 = 100 x 1 + 1
We consider the new divisor 100 and the new remainder 1,and apply the division lemma to get
100 = 1 x 100 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6344 and 5337 is 1
Notice that 1 = HCF(100,1) = HCF(101,100) = HCF(302,101) = HCF(1007,302) = HCF(5337,1007) = HCF(6344,5337) .
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Frequently Asked Questions on HCF of 6344, 5337 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 6344, 5337?
Answer: HCF of 6344, 5337 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6344, 5337 using Euclid's Algorithm?
Answer: For arbitrary numbers 6344, 5337 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.