Highest Common Factor of 2679, 5130 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 2679, 5130 i.e. 57 the largest integer that leaves a remainder zero for all numbers.
HCF of 2679, 5130 is 57 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 2679, 5130 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 2679, 5130 is 57.
HCF(2679, 5130) = 57
HCF of 2679, 5130 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2679, 5130 is 57.
Highest Common Factor of 2679,5130 is 57
Step 1: Since 5130 > 2679, we apply the division lemma to 5130 and 2679, to get
5130 = 2679 x 1 + 2451
Step 2: Since the reminder 2679 ≠ 0, we apply division lemma to 2451 and 2679, to get
2679 = 2451 x 1 + 228
Step 3: We consider the new divisor 2451 and the new remainder 228, and apply the division lemma to get
2451 = 228 x 10 + 171
We consider the new divisor 228 and the new remainder 171,and apply the division lemma to get
228 = 171 x 1 + 57
We consider the new divisor 171 and the new remainder 57,and apply the division lemma to get
171 = 57 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 2679 and 5130 is 57
Notice that 57 = HCF(171,57) = HCF(228,171) = HCF(2451,228) = HCF(2679,2451) = HCF(5130,2679) .
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Frequently Asked Questions on HCF of 2679, 5130 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 2679, 5130?
Answer: HCF of 2679, 5130 is 57 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2679, 5130 using Euclid's Algorithm?
Answer: For arbitrary numbers 2679, 5130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.