Highest Common Factor of 2712, 7918 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 2712, 7918 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2712, 7918 is 2 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 2712, 7918 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 2712, 7918 is 2.
HCF(2712, 7918) = 2
HCF of 2712, 7918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2712, 7918 is 2.
Highest Common Factor of 2712,7918 is 2
Step 1: Since 7918 > 2712, we apply the division lemma to 7918 and 2712, to get
7918 = 2712 x 2 + 2494
Step 2: Since the reminder 2712 ≠ 0, we apply division lemma to 2494 and 2712, to get
2712 = 2494 x 1 + 218
Step 3: We consider the new divisor 2494 and the new remainder 218, and apply the division lemma to get
2494 = 218 x 11 + 96
We consider the new divisor 218 and the new remainder 96,and apply the division lemma to get
218 = 96 x 2 + 26
We consider the new divisor 96 and the new remainder 26,and apply the division lemma to get
96 = 26 x 3 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2712 and 7918 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(96,26) = HCF(218,96) = HCF(2494,218) = HCF(2712,2494) = HCF(7918,2712) .
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Frequently Asked Questions on HCF of 2712, 7918 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 2712, 7918?
Answer: HCF of 2712, 7918 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2712, 7918 using Euclid's Algorithm?
Answer: For arbitrary numbers 2712, 7918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.