Highest Common Factor of 5368, 2379 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 5368, 2379 i.e. 61 the largest integer that leaves a remainder zero for all numbers.
HCF of 5368, 2379 is 61 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 5368, 2379 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 5368, 2379 is 61.
HCF(5368, 2379) = 61
HCF of 5368, 2379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5368, 2379 is 61.
Highest Common Factor of 5368,2379 is 61
Step 1: Since 5368 > 2379, we apply the division lemma to 5368 and 2379, to get
5368 = 2379 x 2 + 610
Step 2: Since the reminder 2379 ≠ 0, we apply division lemma to 610 and 2379, to get
2379 = 610 x 3 + 549
Step 3: We consider the new divisor 610 and the new remainder 549, and apply the division lemma to get
610 = 549 x 1 + 61
We consider the new divisor 549 and the new remainder 61, and apply the division lemma to get
549 = 61 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 61, the HCF of 5368 and 2379 is 61
Notice that 61 = HCF(549,61) = HCF(610,549) = HCF(2379,610) = HCF(5368,2379) .
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Frequently Asked Questions on HCF of 5368, 2379 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 5368, 2379?
Answer: HCF of 5368, 2379 is 61 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5368, 2379 using Euclid's Algorithm?
Answer: For arbitrary numbers 5368, 2379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.