Highest Common Factor of 2517, 3802 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 2517, 3802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2517, 3802 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 2517, 3802 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 2517, 3802 is 1.
HCF(2517, 3802) = 1
HCF of 2517, 3802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2517, 3802 is 1.
Highest Common Factor of 2517,3802 is 1
Step 1: Since 3802 > 2517, we apply the division lemma to 3802 and 2517, to get
3802 = 2517 x 1 + 1285
Step 2: Since the reminder 2517 ≠ 0, we apply division lemma to 1285 and 2517, to get
2517 = 1285 x 1 + 1232
Step 3: We consider the new divisor 1285 and the new remainder 1232, and apply the division lemma to get
1285 = 1232 x 1 + 53
We consider the new divisor 1232 and the new remainder 53,and apply the division lemma to get
1232 = 53 x 23 + 13
We consider the new divisor 53 and the new remainder 13,and apply the division lemma to get
53 = 13 x 4 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2517 and 3802 is 1
Notice that 1 = HCF(13,1) = HCF(53,13) = HCF(1232,53) = HCF(1285,1232) = HCF(2517,1285) = HCF(3802,2517) .
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Frequently Asked Questions on HCF of 2517, 3802 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 2517, 3802?
Answer: HCF of 2517, 3802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2517, 3802 using Euclid's Algorithm?
Answer: For arbitrary numbers 2517, 3802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.