Highest Common Factor of 577, 2675 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 577, 2675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 577, 2675 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 577, 2675 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 577, 2675 is 1.
HCF(577, 2675) = 1
HCF of 577, 2675 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 577, 2675 is 1.
Highest Common Factor of 577,2675 is 1
Step 1: Since 2675 > 577, we apply the division lemma to 2675 and 577, to get
2675 = 577 x 4 + 367
Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 367 and 577, to get
577 = 367 x 1 + 210
Step 3: We consider the new divisor 367 and the new remainder 210, and apply the division lemma to get
367 = 210 x 1 + 157
We consider the new divisor 210 and the new remainder 157,and apply the division lemma to get
210 = 157 x 1 + 53
We consider the new divisor 157 and the new remainder 53,and apply the division lemma to get
157 = 53 x 2 + 51
We consider the new divisor 53 and the new remainder 51,and apply the division lemma to get
53 = 51 x 1 + 2
We consider the new divisor 51 and the new remainder 2,and apply the division lemma to get
51 = 2 x 25 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 577 and 2675 is 1
Notice that 1 = HCF(2,1) = HCF(51,2) = HCF(53,51) = HCF(157,53) = HCF(210,157) = HCF(367,210) = HCF(577,367) = HCF(2675,577) .
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Frequently Asked Questions on HCF of 577, 2675 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 577, 2675?
Answer: HCF of 577, 2675 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 577, 2675 using Euclid's Algorithm?
Answer: For arbitrary numbers 577, 2675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.