Highest Common Factor of 654, 2563 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 654, 2563 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 654, 2563 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 654, 2563 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 654, 2563 is 1.
HCF(654, 2563) = 1
HCF of 654, 2563 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 654, 2563 is 1.
Highest Common Factor of 654,2563 is 1
Step 1: Since 2563 > 654, we apply the division lemma to 2563 and 654, to get
2563 = 654 x 3 + 601
Step 2: Since the reminder 654 ≠ 0, we apply division lemma to 601 and 654, to get
654 = 601 x 1 + 53
Step 3: We consider the new divisor 601 and the new remainder 53, and apply the division lemma to get
601 = 53 x 11 + 18
We consider the new divisor 53 and the new remainder 18,and apply the division lemma to get
53 = 18 x 2 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 654 and 2563 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(53,18) = HCF(601,53) = HCF(654,601) = HCF(2563,654) .
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Frequently Asked Questions on HCF of 654, 2563 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 654, 2563?
Answer: HCF of 654, 2563 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 654, 2563 using Euclid's Algorithm?
Answer: For arbitrary numbers 654, 2563 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.