Highest Common Factor of 2526, 6142 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 2526, 6142 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2526, 6142 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 2526, 6142 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 2526, 6142 is 2.
HCF(2526, 6142) = 2
HCF of 2526, 6142 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2526, 6142 is 2.
Highest Common Factor of 2526,6142 is 2
Step 1: Since 6142 > 2526, we apply the division lemma to 6142 and 2526, to get
6142 = 2526 x 2 + 1090
Step 2: Since the reminder 2526 ≠ 0, we apply division lemma to 1090 and 2526, to get
2526 = 1090 x 2 + 346
Step 3: We consider the new divisor 1090 and the new remainder 346, and apply the division lemma to get
1090 = 346 x 3 + 52
We consider the new divisor 346 and the new remainder 52,and apply the division lemma to get
346 = 52 x 6 + 34
We consider the new divisor 52 and the new remainder 34,and apply the division lemma to get
52 = 34 x 1 + 18
We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2526 and 6142 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(52,34) = HCF(346,52) = HCF(1090,346) = HCF(2526,1090) = HCF(6142,2526) .
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Frequently Asked Questions on HCF of 2526, 6142 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 2526, 6142?
Answer: HCF of 2526, 6142 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2526, 6142 using Euclid's Algorithm?
Answer: For arbitrary numbers 2526, 6142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.