Highest Common Factor of 2540, 4561 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 2540, 4561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2540, 4561 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 2540, 4561 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 2540, 4561 is 1.
HCF(2540, 4561) = 1
HCF of 2540, 4561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2540, 4561 is 1.
Highest Common Factor of 2540,4561 is 1
Step 1: Since 4561 > 2540, we apply the division lemma to 4561 and 2540, to get
4561 = 2540 x 1 + 2021
Step 2: Since the reminder 2540 ≠ 0, we apply division lemma to 2021 and 2540, to get
2540 = 2021 x 1 + 519
Step 3: We consider the new divisor 2021 and the new remainder 519, and apply the division lemma to get
2021 = 519 x 3 + 464
We consider the new divisor 519 and the new remainder 464,and apply the division lemma to get
519 = 464 x 1 + 55
We consider the new divisor 464 and the new remainder 55,and apply the division lemma to get
464 = 55 x 8 + 24
We consider the new divisor 55 and the new remainder 24,and apply the division lemma to get
55 = 24 x 2 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 2540 and 4561 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(55,24) = HCF(464,55) = HCF(519,464) = HCF(2021,519) = HCF(2540,2021) = HCF(4561,2540) .
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Frequently Asked Questions on HCF of 2540, 4561 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 2540, 4561?
Answer: HCF of 2540, 4561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2540, 4561 using Euclid's Algorithm?
Answer: For arbitrary numbers 2540, 4561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.