Highest Common Factor of 6472, 2652 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 6472, 2652 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6472, 2652 is 4 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 6472, 2652 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 6472, 2652 is 4.
HCF(6472, 2652) = 4
HCF of 6472, 2652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6472, 2652 is 4.
Highest Common Factor of 6472,2652 is 4
Step 1: Since 6472 > 2652, we apply the division lemma to 6472 and 2652, to get
6472 = 2652 x 2 + 1168
Step 2: Since the reminder 2652 ≠ 0, we apply division lemma to 1168 and 2652, to get
2652 = 1168 x 2 + 316
Step 3: We consider the new divisor 1168 and the new remainder 316, and apply the division lemma to get
1168 = 316 x 3 + 220
We consider the new divisor 316 and the new remainder 220,and apply the division lemma to get
316 = 220 x 1 + 96
We consider the new divisor 220 and the new remainder 96,and apply the division lemma to get
220 = 96 x 2 + 28
We consider the new divisor 96 and the new remainder 28,and apply the division lemma to get
96 = 28 x 3 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6472 and 2652 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(96,28) = HCF(220,96) = HCF(316,220) = HCF(1168,316) = HCF(2652,1168) = HCF(6472,2652) .
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Frequently Asked Questions on HCF of 6472, 2652 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 6472, 2652?
Answer: HCF of 6472, 2652 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6472, 2652 using Euclid's Algorithm?
Answer: For arbitrary numbers 6472, 2652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.