Highest Common Factor of 2363, 2502 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 2363, 2502 i.e. 139 the largest integer that leaves a remainder zero for all numbers.
HCF of 2363, 2502 is 139 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 2363, 2502 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 2363, 2502 is 139.
HCF(2363, 2502) = 139
HCF of 2363, 2502 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2363, 2502 is 139.
Highest Common Factor of 2363,2502 is 139
Step 1: Since 2502 > 2363, we apply the division lemma to 2502 and 2363, to get
2502 = 2363 x 1 + 139
Step 2: Since the reminder 2363 ≠ 0, we apply division lemma to 139 and 2363, to get
2363 = 139 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 139, the HCF of 2363 and 2502 is 139
Notice that 139 = HCF(2363,139) = HCF(2502,2363) .
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Frequently Asked Questions on HCF of 2363, 2502 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 2363, 2502?
Answer: HCF of 2363, 2502 is 139 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2363, 2502 using Euclid's Algorithm?
Answer: For arbitrary numbers 2363, 2502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.