Highest Common Factor of 2523, 5477 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 2523, 5477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2523, 5477 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 2523, 5477 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 2523, 5477 is 1.
HCF(2523, 5477) = 1
HCF of 2523, 5477 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2523, 5477 is 1.
Highest Common Factor of 2523,5477 is 1
Step 1: Since 5477 > 2523, we apply the division lemma to 5477 and 2523, to get
5477 = 2523 x 2 + 431
Step 2: Since the reminder 2523 ≠ 0, we apply division lemma to 431 and 2523, to get
2523 = 431 x 5 + 368
Step 3: We consider the new divisor 431 and the new remainder 368, and apply the division lemma to get
431 = 368 x 1 + 63
We consider the new divisor 368 and the new remainder 63,and apply the division lemma to get
368 = 63 x 5 + 53
We consider the new divisor 63 and the new remainder 53,and apply the division lemma to get
63 = 53 x 1 + 10
We consider the new divisor 53 and the new remainder 10,and apply the division lemma to get
53 = 10 x 5 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 2523 and 5477 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(53,10) = HCF(63,53) = HCF(368,63) = HCF(431,368) = HCF(2523,431) = HCF(5477,2523) .
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Frequently Asked Questions on HCF of 2523, 5477 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 2523, 5477?
Answer: HCF of 2523, 5477 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2523, 5477 using Euclid's Algorithm?
Answer: For arbitrary numbers 2523, 5477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
