Highest Common Factor of 3379, 2517 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 3379, 2517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3379, 2517 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 3379, 2517 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 3379, 2517 is 1.
HCF(3379, 2517) = 1
HCF of 3379, 2517 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3379, 2517 is 1.
Highest Common Factor of 3379,2517 is 1
Step 1: Since 3379 > 2517, we apply the division lemma to 3379 and 2517, to get
3379 = 2517 x 1 + 862
Step 2: Since the reminder 2517 ≠ 0, we apply division lemma to 862 and 2517, to get
2517 = 862 x 2 + 793
Step 3: We consider the new divisor 862 and the new remainder 793, and apply the division lemma to get
862 = 793 x 1 + 69
We consider the new divisor 793 and the new remainder 69,and apply the division lemma to get
793 = 69 x 11 + 34
We consider the new divisor 69 and the new remainder 34,and apply the division lemma to get
69 = 34 x 2 + 1
We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get
34 = 1 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3379 and 2517 is 1
Notice that 1 = HCF(34,1) = HCF(69,34) = HCF(793,69) = HCF(862,793) = HCF(2517,862) = HCF(3379,2517) .
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Frequently Asked Questions on HCF of 3379, 2517 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 3379, 2517?
Answer: HCF of 3379, 2517 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3379, 2517 using Euclid's Algorithm?
Answer: For arbitrary numbers 3379, 2517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.