Highest Common Factor of 648, 4272 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 648, 4272 i.e. 24 the largest integer that leaves a remainder zero for all numbers.
HCF of 648, 4272 is 24 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 648, 4272 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 648, 4272 is 24.
HCF(648, 4272) = 24
HCF of 648, 4272 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 648, 4272 is 24.
Highest Common Factor of 648,4272 is 24
Step 1: Since 4272 > 648, we apply the division lemma to 4272 and 648, to get
4272 = 648 x 6 + 384
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 384 and 648, to get
648 = 384 x 1 + 264
Step 3: We consider the new divisor 384 and the new remainder 264, and apply the division lemma to get
384 = 264 x 1 + 120
We consider the new divisor 264 and the new remainder 120,and apply the division lemma to get
264 = 120 x 2 + 24
We consider the new divisor 120 and the new remainder 24,and apply the division lemma to get
120 = 24 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 648 and 4272 is 24
Notice that 24 = HCF(120,24) = HCF(264,120) = HCF(384,264) = HCF(648,384) = HCF(4272,648) .
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Frequently Asked Questions on HCF of 648, 4272 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 648, 4272?
Answer: HCF of 648, 4272 is 24 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 648, 4272 using Euclid's Algorithm?
Answer: For arbitrary numbers 648, 4272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
