Highest Common Factor of 4930, 6322 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 4930, 6322 i.e. 58 the largest integer that leaves a remainder zero for all numbers.
HCF of 4930, 6322 is 58 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 4930, 6322 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 4930, 6322 is 58.
HCF(4930, 6322) = 58
HCF of 4930, 6322 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4930, 6322 is 58.
Highest Common Factor of 4930,6322 is 58
Step 1: Since 6322 > 4930, we apply the division lemma to 6322 and 4930, to get
6322 = 4930 x 1 + 1392
Step 2: Since the reminder 4930 ≠ 0, we apply division lemma to 1392 and 4930, to get
4930 = 1392 x 3 + 754
Step 3: We consider the new divisor 1392 and the new remainder 754, and apply the division lemma to get
1392 = 754 x 1 + 638
We consider the new divisor 754 and the new remainder 638,and apply the division lemma to get
754 = 638 x 1 + 116
We consider the new divisor 638 and the new remainder 116,and apply the division lemma to get
638 = 116 x 5 + 58
We consider the new divisor 116 and the new remainder 58,and apply the division lemma to get
116 = 58 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 58, the HCF of 4930 and 6322 is 58
Notice that 58 = HCF(116,58) = HCF(638,116) = HCF(754,638) = HCF(1392,754) = HCF(4930,1392) = HCF(6322,4930) .
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Frequently Asked Questions on HCF of 4930, 6322 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 4930, 6322?
Answer: HCF of 4930, 6322 is 58 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4930, 6322 using Euclid's Algorithm?
Answer: For arbitrary numbers 4930, 6322 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.