Highest Common Factor of 2541, 8576 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 2541, 8576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2541, 8576 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 2541, 8576 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 2541, 8576 is 1.
HCF(2541, 8576) = 1
HCF of 2541, 8576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2541, 8576 is 1.
Highest Common Factor of 2541,8576 is 1
Step 1: Since 8576 > 2541, we apply the division lemma to 8576 and 2541, to get
8576 = 2541 x 3 + 953
Step 2: Since the reminder 2541 ≠ 0, we apply division lemma to 953 and 2541, to get
2541 = 953 x 2 + 635
Step 3: We consider the new divisor 953 and the new remainder 635, and apply the division lemma to get
953 = 635 x 1 + 318
We consider the new divisor 635 and the new remainder 318,and apply the division lemma to get
635 = 318 x 1 + 317
We consider the new divisor 318 and the new remainder 317,and apply the division lemma to get
318 = 317 x 1 + 1
We consider the new divisor 317 and the new remainder 1,and apply the division lemma to get
317 = 1 x 317 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2541 and 8576 is 1
Notice that 1 = HCF(317,1) = HCF(318,317) = HCF(635,318) = HCF(953,635) = HCF(2541,953) = HCF(8576,2541) .
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Frequently Asked Questions on HCF of 2541, 8576 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 2541, 8576?
Answer: HCF of 2541, 8576 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2541, 8576 using Euclid's Algorithm?
Answer: For arbitrary numbers 2541, 8576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.