Highest Common Factor of 6162, 2540 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 6162, 2540 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6162, 2540 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 6162, 2540 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 6162, 2540 is 2.
HCF(6162, 2540) = 2
HCF of 6162, 2540 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6162, 2540 is 2.
Highest Common Factor of 6162,2540 is 2
Step 1: Since 6162 > 2540, we apply the division lemma to 6162 and 2540, to get
6162 = 2540 x 2 + 1082
Step 2: Since the reminder 2540 ≠ 0, we apply division lemma to 1082 and 2540, to get
2540 = 1082 x 2 + 376
Step 3: We consider the new divisor 1082 and the new remainder 376, and apply the division lemma to get
1082 = 376 x 2 + 330
We consider the new divisor 376 and the new remainder 330,and apply the division lemma to get
376 = 330 x 1 + 46
We consider the new divisor 330 and the new remainder 46,and apply the division lemma to get
330 = 46 x 7 + 8
We consider the new divisor 46 and the new remainder 8,and apply the division lemma to get
46 = 8 x 5 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6162 and 2540 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(46,8) = HCF(330,46) = HCF(376,330) = HCF(1082,376) = HCF(2540,1082) = HCF(6162,2540) .
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Frequently Asked Questions on HCF of 6162, 2540 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 6162, 2540?
Answer: HCF of 6162, 2540 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6162, 2540 using Euclid's Algorithm?
Answer: For arbitrary numbers 6162, 2540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.