Highest Common Factor of 8708, 2557 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 8708, 2557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8708, 2557 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 8708, 2557 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 8708, 2557 is 1.
HCF(8708, 2557) = 1
HCF of 8708, 2557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8708, 2557 is 1.
Highest Common Factor of 8708,2557 is 1
Step 1: Since 8708 > 2557, we apply the division lemma to 8708 and 2557, to get
8708 = 2557 x 3 + 1037
Step 2: Since the reminder 2557 ≠ 0, we apply division lemma to 1037 and 2557, to get
2557 = 1037 x 2 + 483
Step 3: We consider the new divisor 1037 and the new remainder 483, and apply the division lemma to get
1037 = 483 x 2 + 71
We consider the new divisor 483 and the new remainder 71,and apply the division lemma to get
483 = 71 x 6 + 57
We consider the new divisor 71 and the new remainder 57,and apply the division lemma to get
71 = 57 x 1 + 14
We consider the new divisor 57 and the new remainder 14,and apply the division lemma to get
57 = 14 x 4 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8708 and 2557 is 1
Notice that 1 = HCF(14,1) = HCF(57,14) = HCF(71,57) = HCF(483,71) = HCF(1037,483) = HCF(2557,1037) = HCF(8708,2557) .
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Frequently Asked Questions on HCF of 8708, 2557 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 8708, 2557?
Answer: HCF of 8708, 2557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8708, 2557 using Euclid's Algorithm?
Answer: For arbitrary numbers 8708, 2557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.