Highest Common Factor of 4272, 6395 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 4272, 6395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4272, 6395 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 4272, 6395 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 4272, 6395 is 1.
HCF(4272, 6395) = 1
HCF of 4272, 6395 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4272, 6395 is 1.
Highest Common Factor of 4272,6395 is 1
Step 1: Since 6395 > 4272, we apply the division lemma to 6395 and 4272, to get
6395 = 4272 x 1 + 2123
Step 2: Since the reminder 4272 ≠ 0, we apply division lemma to 2123 and 4272, to get
4272 = 2123 x 2 + 26
Step 3: We consider the new divisor 2123 and the new remainder 26, and apply the division lemma to get
2123 = 26 x 81 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4272 and 6395 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(2123,26) = HCF(4272,2123) = HCF(6395,4272) .
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Frequently Asked Questions on HCF of 4272, 6395 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 4272, 6395?
Answer: HCF of 4272, 6395 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4272, 6395 using Euclid's Algorithm?
Answer: For arbitrary numbers 4272, 6395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.