Highest Common Factor of 4382, 5131 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 4382, 5131 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4382, 5131 is 7 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 4382, 5131 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 4382, 5131 is 7.
HCF(4382, 5131) = 7
HCF of 4382, 5131 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4382, 5131 is 7.
Highest Common Factor of 4382,5131 is 7
Step 1: Since 5131 > 4382, we apply the division lemma to 5131 and 4382, to get
5131 = 4382 x 1 + 749
Step 2: Since the reminder 4382 ≠ 0, we apply division lemma to 749 and 4382, to get
4382 = 749 x 5 + 637
Step 3: We consider the new divisor 749 and the new remainder 637, and apply the division lemma to get
749 = 637 x 1 + 112
We consider the new divisor 637 and the new remainder 112,and apply the division lemma to get
637 = 112 x 5 + 77
We consider the new divisor 112 and the new remainder 77,and apply the division lemma to get
112 = 77 x 1 + 35
We consider the new divisor 77 and the new remainder 35,and apply the division lemma to get
77 = 35 x 2 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4382 and 5131 is 7
Notice that 7 = HCF(35,7) = HCF(77,35) = HCF(112,77) = HCF(637,112) = HCF(749,637) = HCF(4382,749) = HCF(5131,4382) .
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Frequently Asked Questions on HCF of 4382, 5131 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 4382, 5131?
Answer: HCF of 4382, 5131 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4382, 5131 using Euclid's Algorithm?
Answer: For arbitrary numbers 4382, 5131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.