Highest Common Factor of 2940, 5277 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 2940, 5277 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2940, 5277 is 3 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 2940, 5277 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 2940, 5277 is 3.
HCF(2940, 5277) = 3
HCF of 2940, 5277 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2940, 5277 is 3.
Highest Common Factor of 2940,5277 is 3
Step 1: Since 5277 > 2940, we apply the division lemma to 5277 and 2940, to get
5277 = 2940 x 1 + 2337
Step 2: Since the reminder 2940 ≠ 0, we apply division lemma to 2337 and 2940, to get
2940 = 2337 x 1 + 603
Step 3: We consider the new divisor 2337 and the new remainder 603, and apply the division lemma to get
2337 = 603 x 3 + 528
We consider the new divisor 603 and the new remainder 528,and apply the division lemma to get
603 = 528 x 1 + 75
We consider the new divisor 528 and the new remainder 75,and apply the division lemma to get
528 = 75 x 7 + 3
We consider the new divisor 75 and the new remainder 3,and apply the division lemma to get
75 = 3 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2940 and 5277 is 3
Notice that 3 = HCF(75,3) = HCF(528,75) = HCF(603,528) = HCF(2337,603) = HCF(2940,2337) = HCF(5277,2940) .
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Frequently Asked Questions on HCF of 2940, 5277 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 2940, 5277?
Answer: HCF of 2940, 5277 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2940, 5277 using Euclid's Algorithm?
Answer: For arbitrary numbers 2940, 5277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.