Highest Common Factor of 6540, 4149 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 6540, 4149 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6540, 4149 is 3 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 6540, 4149 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 6540, 4149 is 3.
HCF(6540, 4149) = 3
HCF of 6540, 4149 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6540, 4149 is 3.
Highest Common Factor of 6540,4149 is 3
Step 1: Since 6540 > 4149, we apply the division lemma to 6540 and 4149, to get
6540 = 4149 x 1 + 2391
Step 2: Since the reminder 4149 ≠ 0, we apply division lemma to 2391 and 4149, to get
4149 = 2391 x 1 + 1758
Step 3: We consider the new divisor 2391 and the new remainder 1758, and apply the division lemma to get
2391 = 1758 x 1 + 633
We consider the new divisor 1758 and the new remainder 633,and apply the division lemma to get
1758 = 633 x 2 + 492
We consider the new divisor 633 and the new remainder 492,and apply the division lemma to get
633 = 492 x 1 + 141
We consider the new divisor 492 and the new remainder 141,and apply the division lemma to get
492 = 141 x 3 + 69
We consider the new divisor 141 and the new remainder 69,and apply the division lemma to get
141 = 69 x 2 + 3
We consider the new divisor 69 and the new remainder 3,and apply the division lemma to get
69 = 3 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6540 and 4149 is 3
Notice that 3 = HCF(69,3) = HCF(141,69) = HCF(492,141) = HCF(633,492) = HCF(1758,633) = HCF(2391,1758) = HCF(4149,2391) = HCF(6540,4149) .
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Frequently Asked Questions on HCF of 6540, 4149 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 6540, 4149?
Answer: HCF of 6540, 4149 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6540, 4149 using Euclid's Algorithm?
Answer: For arbitrary numbers 6540, 4149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
