Highest Common Factor of 2718, 1857 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 2718, 1857 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2718, 1857 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 2718, 1857 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 2718, 1857 is 3.
HCF(2718, 1857) = 3
HCF of 2718, 1857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2718, 1857 is 3.
Highest Common Factor of 2718,1857 is 3
Step 1: Since 2718 > 1857, we apply the division lemma to 2718 and 1857, to get
2718 = 1857 x 1 + 861
Step 2: Since the reminder 1857 ≠ 0, we apply division lemma to 861 and 1857, to get
1857 = 861 x 2 + 135
Step 3: We consider the new divisor 861 and the new remainder 135, and apply the division lemma to get
861 = 135 x 6 + 51
We consider the new divisor 135 and the new remainder 51,and apply the division lemma to get
135 = 51 x 2 + 33
We consider the new divisor 51 and the new remainder 33,and apply the division lemma to get
51 = 33 x 1 + 18
We consider the new divisor 33 and the new remainder 18,and apply the division lemma to get
33 = 18 x 1 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2718 and 1857 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(33,18) = HCF(51,33) = HCF(135,51) = HCF(861,135) = HCF(1857,861) = HCF(2718,1857) .
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Frequently Asked Questions on HCF of 2718, 1857 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 2718, 1857?
Answer: HCF of 2718, 1857 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2718, 1857 using Euclid's Algorithm?
Answer: For arbitrary numbers 2718, 1857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.