Highest Common Factor of 3051, 2612 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 3051, 2612 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3051, 2612 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 3051, 2612 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 3051, 2612 is 1.
HCF(3051, 2612) = 1
HCF of 3051, 2612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3051, 2612 is 1.
Highest Common Factor of 3051,2612 is 1
Step 1: Since 3051 > 2612, we apply the division lemma to 3051 and 2612, to get
3051 = 2612 x 1 + 439
Step 2: Since the reminder 2612 ≠ 0, we apply division lemma to 439 and 2612, to get
2612 = 439 x 5 + 417
Step 3: We consider the new divisor 439 and the new remainder 417, and apply the division lemma to get
439 = 417 x 1 + 22
We consider the new divisor 417 and the new remainder 22,and apply the division lemma to get
417 = 22 x 18 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3051 and 2612 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(417,22) = HCF(439,417) = HCF(2612,439) = HCF(3051,2612) .
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Frequently Asked Questions on HCF of 3051, 2612 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 3051, 2612?
Answer: HCF of 3051, 2612 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3051, 2612 using Euclid's Algorithm?
Answer: For arbitrary numbers 3051, 2612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.