Highest Common Factor of 6053, 4621 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 6053, 4621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6053, 4621 is 1 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 6053, 4621 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 6053, 4621 is 1.
HCF(6053, 4621) = 1
HCF of 6053, 4621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6053, 4621 is 1.
Highest Common Factor of 6053,4621 is 1
Step 1: Since 6053 > 4621, we apply the division lemma to 6053 and 4621, to get
6053 = 4621 x 1 + 1432
Step 2: Since the reminder 4621 ≠ 0, we apply division lemma to 1432 and 4621, to get
4621 = 1432 x 3 + 325
Step 3: We consider the new divisor 1432 and the new remainder 325, and apply the division lemma to get
1432 = 325 x 4 + 132
We consider the new divisor 325 and the new remainder 132,and apply the division lemma to get
325 = 132 x 2 + 61
We consider the new divisor 132 and the new remainder 61,and apply the division lemma to get
132 = 61 x 2 + 10
We consider the new divisor 61 and the new remainder 10,and apply the division lemma to get
61 = 10 x 6 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6053 and 4621 is 1
Notice that 1 = HCF(10,1) = HCF(61,10) = HCF(132,61) = HCF(325,132) = HCF(1432,325) = HCF(4621,1432) = HCF(6053,4621) .
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Frequently Asked Questions on HCF of 6053, 4621 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 6053, 4621?
Answer: HCF of 6053, 4621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6053, 4621 using Euclid's Algorithm?
Answer: For arbitrary numbers 6053, 4621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.