Highest Common Factor of 6152, 4458 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 6152, 4458 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6152, 4458 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 6152, 4458 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 6152, 4458 is 2.
HCF(6152, 4458) = 2
HCF of 6152, 4458 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6152, 4458 is 2.
Highest Common Factor of 6152,4458 is 2
Step 1: Since 6152 > 4458, we apply the division lemma to 6152 and 4458, to get
6152 = 4458 x 1 + 1694
Step 2: Since the reminder 4458 ≠ 0, we apply division lemma to 1694 and 4458, to get
4458 = 1694 x 2 + 1070
Step 3: We consider the new divisor 1694 and the new remainder 1070, and apply the division lemma to get
1694 = 1070 x 1 + 624
We consider the new divisor 1070 and the new remainder 624,and apply the division lemma to get
1070 = 624 x 1 + 446
We consider the new divisor 624 and the new remainder 446,and apply the division lemma to get
624 = 446 x 1 + 178
We consider the new divisor 446 and the new remainder 178,and apply the division lemma to get
446 = 178 x 2 + 90
We consider the new divisor 178 and the new remainder 90,and apply the division lemma to get
178 = 90 x 1 + 88
We consider the new divisor 90 and the new remainder 88,and apply the division lemma to get
90 = 88 x 1 + 2
We consider the new divisor 88 and the new remainder 2,and apply the division lemma to get
88 = 2 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6152 and 4458 is 2
Notice that 2 = HCF(88,2) = HCF(90,88) = HCF(178,90) = HCF(446,178) = HCF(624,446) = HCF(1070,624) = HCF(1694,1070) = HCF(4458,1694) = HCF(6152,4458) .
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Frequently Asked Questions on HCF of 6152, 4458 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 6152, 4458?
Answer: HCF of 6152, 4458 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6152, 4458 using Euclid's Algorithm?
Answer: For arbitrary numbers 6152, 4458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.