Highest Common Factor of 6272, 2874 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 6272, 2874 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6272, 2874 is 2 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 6272, 2874 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 6272, 2874 is 2.
HCF(6272, 2874) = 2
HCF of 6272, 2874 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6272, 2874 is 2.
Highest Common Factor of 6272,2874 is 2
Step 1: Since 6272 > 2874, we apply the division lemma to 6272 and 2874, to get
6272 = 2874 x 2 + 524
Step 2: Since the reminder 2874 ≠ 0, we apply division lemma to 524 and 2874, to get
2874 = 524 x 5 + 254
Step 3: We consider the new divisor 524 and the new remainder 254, and apply the division lemma to get
524 = 254 x 2 + 16
We consider the new divisor 254 and the new remainder 16,and apply the division lemma to get
254 = 16 x 15 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6272 and 2874 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(254,16) = HCF(524,254) = HCF(2874,524) = HCF(6272,2874) .
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Frequently Asked Questions on HCF of 6272, 2874 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 6272, 2874?
Answer: HCF of 6272, 2874 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6272, 2874 using Euclid's Algorithm?
Answer: For arbitrary numbers 6272, 2874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.