Highest Common Factor of 5294, 6312 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 5294, 6312 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5294, 6312 is 2 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 5294, 6312 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 5294, 6312 is 2.
HCF(5294, 6312) = 2
HCF of 5294, 6312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5294, 6312 is 2.
Highest Common Factor of 5294,6312 is 2
Step 1: Since 6312 > 5294, we apply the division lemma to 6312 and 5294, to get
6312 = 5294 x 1 + 1018
Step 2: Since the reminder 5294 ≠ 0, we apply division lemma to 1018 and 5294, to get
5294 = 1018 x 5 + 204
Step 3: We consider the new divisor 1018 and the new remainder 204, and apply the division lemma to get
1018 = 204 x 4 + 202
We consider the new divisor 204 and the new remainder 202,and apply the division lemma to get
204 = 202 x 1 + 2
We consider the new divisor 202 and the new remainder 2,and apply the division lemma to get
202 = 2 x 101 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5294 and 6312 is 2
Notice that 2 = HCF(202,2) = HCF(204,202) = HCF(1018,204) = HCF(5294,1018) = HCF(6312,5294) .
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Frequently Asked Questions on HCF of 5294, 6312 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 5294, 6312?
Answer: HCF of 5294, 6312 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5294, 6312 using Euclid's Algorithm?
Answer: For arbitrary numbers 5294, 6312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.