Highest Common Factor of 5124, 6281 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 5124, 6281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5124, 6281 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 5124, 6281 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 5124, 6281 is 1.
HCF(5124, 6281) = 1
HCF of 5124, 6281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5124, 6281 is 1.
Highest Common Factor of 5124,6281 is 1
Step 1: Since 6281 > 5124, we apply the division lemma to 6281 and 5124, to get
6281 = 5124 x 1 + 1157
Step 2: Since the reminder 5124 ≠ 0, we apply division lemma to 1157 and 5124, to get
5124 = 1157 x 4 + 496
Step 3: We consider the new divisor 1157 and the new remainder 496, and apply the division lemma to get
1157 = 496 x 2 + 165
We consider the new divisor 496 and the new remainder 165,and apply the division lemma to get
496 = 165 x 3 + 1
We consider the new divisor 165 and the new remainder 1,and apply the division lemma to get
165 = 1 x 165 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5124 and 6281 is 1
Notice that 1 = HCF(165,1) = HCF(496,165) = HCF(1157,496) = HCF(5124,1157) = HCF(6281,5124) .
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Frequently Asked Questions on HCF of 5124, 6281 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 5124, 6281?
Answer: HCF of 5124, 6281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5124, 6281 using Euclid's Algorithm?
Answer: For arbitrary numbers 5124, 6281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.