Highest Common Factor of 4152, 6472 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 4152, 6472 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4152, 6472 is 8 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 4152, 6472 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 4152, 6472 is 8.
HCF(4152, 6472) = 8
HCF of 4152, 6472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4152, 6472 is 8.
Highest Common Factor of 4152,6472 is 8
Step 1: Since 6472 > 4152, we apply the division lemma to 6472 and 4152, to get
6472 = 4152 x 1 + 2320
Step 2: Since the reminder 4152 ≠ 0, we apply division lemma to 2320 and 4152, to get
4152 = 2320 x 1 + 1832
Step 3: We consider the new divisor 2320 and the new remainder 1832, and apply the division lemma to get
2320 = 1832 x 1 + 488
We consider the new divisor 1832 and the new remainder 488,and apply the division lemma to get
1832 = 488 x 3 + 368
We consider the new divisor 488 and the new remainder 368,and apply the division lemma to get
488 = 368 x 1 + 120
We consider the new divisor 368 and the new remainder 120,and apply the division lemma to get
368 = 120 x 3 + 8
We consider the new divisor 120 and the new remainder 8,and apply the division lemma to get
120 = 8 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4152 and 6472 is 8
Notice that 8 = HCF(120,8) = HCF(368,120) = HCF(488,368) = HCF(1832,488) = HCF(2320,1832) = HCF(4152,2320) = HCF(6472,4152) .
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Frequently Asked Questions on HCF of 4152, 6472 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 4152, 6472?
Answer: HCF of 4152, 6472 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4152, 6472 using Euclid's Algorithm?
Answer: For arbitrary numbers 4152, 6472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.