Highest Common Factor of 6252, 8900 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 6252, 8900 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6252, 8900 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 6252, 8900 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 6252, 8900 is 4.
HCF(6252, 8900) = 4
HCF of 6252, 8900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6252, 8900 is 4.
Highest Common Factor of 6252,8900 is 4
Step 1: Since 8900 > 6252, we apply the division lemma to 8900 and 6252, to get
8900 = 6252 x 1 + 2648
Step 2: Since the reminder 6252 ≠ 0, we apply division lemma to 2648 and 6252, to get
6252 = 2648 x 2 + 956
Step 3: We consider the new divisor 2648 and the new remainder 956, and apply the division lemma to get
2648 = 956 x 2 + 736
We consider the new divisor 956 and the new remainder 736,and apply the division lemma to get
956 = 736 x 1 + 220
We consider the new divisor 736 and the new remainder 220,and apply the division lemma to get
736 = 220 x 3 + 76
We consider the new divisor 220 and the new remainder 76,and apply the division lemma to get
220 = 76 x 2 + 68
We consider the new divisor 76 and the new remainder 68,and apply the division lemma to get
76 = 68 x 1 + 8
We consider the new divisor 68 and the new remainder 8,and apply the division lemma to get
68 = 8 x 8 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6252 and 8900 is 4
Notice that 4 = HCF(8,4) = HCF(68,8) = HCF(76,68) = HCF(220,76) = HCF(736,220) = HCF(956,736) = HCF(2648,956) = HCF(6252,2648) = HCF(8900,6252) .
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Frequently Asked Questions on HCF of 6252, 8900 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 6252, 8900?
Answer: HCF of 6252, 8900 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6252, 8900 using Euclid's Algorithm?
Answer: For arbitrary numbers 6252, 8900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.