Highest Common Factor of 6251, 2504 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 6251, 2504 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6251, 2504 is 1 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 6251, 2504 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 6251, 2504 is 1.
HCF(6251, 2504) = 1
HCF of 6251, 2504 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6251, 2504 is 1.
Highest Common Factor of 6251,2504 is 1
Step 1: Since 6251 > 2504, we apply the division lemma to 6251 and 2504, to get
6251 = 2504 x 2 + 1243
Step 2: Since the reminder 2504 ≠ 0, we apply division lemma to 1243 and 2504, to get
2504 = 1243 x 2 + 18
Step 3: We consider the new divisor 1243 and the new remainder 18, and apply the division lemma to get
1243 = 18 x 69 + 1
We consider the new divisor 18 and the new remainder 1, and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6251 and 2504 is 1
Notice that 1 = HCF(18,1) = HCF(1243,18) = HCF(2504,1243) = HCF(6251,2504) .
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Frequently Asked Questions on HCF of 6251, 2504 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 6251, 2504?
Answer: HCF of 6251, 2504 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6251, 2504 using Euclid's Algorithm?
Answer: For arbitrary numbers 6251, 2504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.