Highest Common Factor of 5131, 9863 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 5131, 9863 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5131, 9863 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 5131, 9863 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 5131, 9863 is 7.
HCF(5131, 9863) = 7
HCF of 5131, 9863 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5131, 9863 is 7.
Highest Common Factor of 5131,9863 is 7
Step 1: Since 9863 > 5131, we apply the division lemma to 9863 and 5131, to get
9863 = 5131 x 1 + 4732
Step 2: Since the reminder 5131 ≠ 0, we apply division lemma to 4732 and 5131, to get
5131 = 4732 x 1 + 399
Step 3: We consider the new divisor 4732 and the new remainder 399, and apply the division lemma to get
4732 = 399 x 11 + 343
We consider the new divisor 399 and the new remainder 343,and apply the division lemma to get
399 = 343 x 1 + 56
We consider the new divisor 343 and the new remainder 56,and apply the division lemma to get
343 = 56 x 6 + 7
We consider the new divisor 56 and the new remainder 7,and apply the division lemma to get
56 = 7 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5131 and 9863 is 7
Notice that 7 = HCF(56,7) = HCF(343,56) = HCF(399,343) = HCF(4732,399) = HCF(5131,4732) = HCF(9863,5131) .
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Frequently Asked Questions on HCF of 5131, 9863 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 5131, 9863?
Answer: HCF of 5131, 9863 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5131, 9863 using Euclid's Algorithm?
Answer: For arbitrary numbers 5131, 9863 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
