Highest Common Factor of 2521, 7054 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 2521, 7054 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2521, 7054 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 2521, 7054 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 2521, 7054 is 1.
HCF(2521, 7054) = 1
HCF of 2521, 7054 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2521, 7054 is 1.
Highest Common Factor of 2521,7054 is 1
Step 1: Since 7054 > 2521, we apply the division lemma to 7054 and 2521, to get
7054 = 2521 x 2 + 2012
Step 2: Since the reminder 2521 ≠ 0, we apply division lemma to 2012 and 2521, to get
2521 = 2012 x 1 + 509
Step 3: We consider the new divisor 2012 and the new remainder 509, and apply the division lemma to get
2012 = 509 x 3 + 485
We consider the new divisor 509 and the new remainder 485,and apply the division lemma to get
509 = 485 x 1 + 24
We consider the new divisor 485 and the new remainder 24,and apply the division lemma to get
485 = 24 x 20 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2521 and 7054 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(485,24) = HCF(509,485) = HCF(2012,509) = HCF(2521,2012) = HCF(7054,2521) .
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Frequently Asked Questions on HCF of 2521, 7054 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 2521, 7054?
Answer: HCF of 2521, 7054 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2521, 7054 using Euclid's Algorithm?
Answer: For arbitrary numbers 2521, 7054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.