Highest Common Factor of 4921, 6132 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 4921, 6132 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4921, 6132 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 4921, 6132 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 4921, 6132 is 7.
HCF(4921, 6132) = 7
HCF of 4921, 6132 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4921, 6132 is 7.
Highest Common Factor of 4921,6132 is 7
Step 1: Since 6132 > 4921, we apply the division lemma to 6132 and 4921, to get
6132 = 4921 x 1 + 1211
Step 2: Since the reminder 4921 ≠ 0, we apply division lemma to 1211 and 4921, to get
4921 = 1211 x 4 + 77
Step 3: We consider the new divisor 1211 and the new remainder 77, and apply the division lemma to get
1211 = 77 x 15 + 56
We consider the new divisor 77 and the new remainder 56,and apply the division lemma to get
77 = 56 x 1 + 21
We consider the new divisor 56 and the new remainder 21,and apply the division lemma to get
56 = 21 x 2 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4921 and 6132 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(56,21) = HCF(77,56) = HCF(1211,77) = HCF(4921,1211) = HCF(6132,4921) .
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Frequently Asked Questions on HCF of 4921, 6132 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 4921, 6132?
Answer: HCF of 4921, 6132 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4921, 6132 using Euclid's Algorithm?
Answer: For arbitrary numbers 4921, 6132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.