Highest Common Factor of 8674, 2749 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 8674, 2749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8674, 2749 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 8674, 2749 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 8674, 2749 is 1.
HCF(8674, 2749) = 1
HCF of 8674, 2749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8674, 2749 is 1.
Highest Common Factor of 8674,2749 is 1
Step 1: Since 8674 > 2749, we apply the division lemma to 8674 and 2749, to get
8674 = 2749 x 3 + 427
Step 2: Since the reminder 2749 ≠ 0, we apply division lemma to 427 and 2749, to get
2749 = 427 x 6 + 187
Step 3: We consider the new divisor 427 and the new remainder 187, and apply the division lemma to get
427 = 187 x 2 + 53
We consider the new divisor 187 and the new remainder 53,and apply the division lemma to get
187 = 53 x 3 + 28
We consider the new divisor 53 and the new remainder 28,and apply the division lemma to get
53 = 28 x 1 + 25
We consider the new divisor 28 and the new remainder 25,and apply the division lemma to get
28 = 25 x 1 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8674 and 2749 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(28,25) = HCF(53,28) = HCF(187,53) = HCF(427,187) = HCF(2749,427) = HCF(8674,2749) .
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Frequently Asked Questions on HCF of 8674, 2749 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 8674, 2749?
Answer: HCF of 8674, 2749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8674, 2749 using Euclid's Algorithm?
Answer: For arbitrary numbers 8674, 2749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.