Highest Common Factor of 6236, 4548 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 6236, 4548 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6236, 4548 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 6236, 4548 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 6236, 4548 is 4.
HCF(6236, 4548) = 4
HCF of 6236, 4548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6236, 4548 is 4.
Highest Common Factor of 6236,4548 is 4
Step 1: Since 6236 > 4548, we apply the division lemma to 6236 and 4548, to get
6236 = 4548 x 1 + 1688
Step 2: Since the reminder 4548 ≠ 0, we apply division lemma to 1688 and 4548, to get
4548 = 1688 x 2 + 1172
Step 3: We consider the new divisor 1688 and the new remainder 1172, and apply the division lemma to get
1688 = 1172 x 1 + 516
We consider the new divisor 1172 and the new remainder 516,and apply the division lemma to get
1172 = 516 x 2 + 140
We consider the new divisor 516 and the new remainder 140,and apply the division lemma to get
516 = 140 x 3 + 96
We consider the new divisor 140 and the new remainder 96,and apply the division lemma to get
140 = 96 x 1 + 44
We consider the new divisor 96 and the new remainder 44,and apply the division lemma to get
96 = 44 x 2 + 8
We consider the new divisor 44 and the new remainder 8,and apply the division lemma to get
44 = 8 x 5 + 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 6236 and 4548 is 4
Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(96,44) = HCF(140,96) = HCF(516,140) = HCF(1172,516) = HCF(1688,1172) = HCF(4548,1688) = HCF(6236,4548) .
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Frequently Asked Questions on HCF of 6236, 4548 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 6236, 4548?
Answer: HCF of 6236, 4548 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6236, 4548 using Euclid's Algorithm?
Answer: For arbitrary numbers 6236, 4548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.