Highest Common Factor of 2644, 4566 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 2644, 4566 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2644, 4566 is 2 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 2644, 4566 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 2644, 4566 is 2.
HCF(2644, 4566) = 2
HCF of 2644, 4566 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2644, 4566 is 2.
Highest Common Factor of 2644,4566 is 2
Step 1: Since 4566 > 2644, we apply the division lemma to 4566 and 2644, to get
4566 = 2644 x 1 + 1922
Step 2: Since the reminder 2644 ≠ 0, we apply division lemma to 1922 and 2644, to get
2644 = 1922 x 1 + 722
Step 3: We consider the new divisor 1922 and the new remainder 722, and apply the division lemma to get
1922 = 722 x 2 + 478
We consider the new divisor 722 and the new remainder 478,and apply the division lemma to get
722 = 478 x 1 + 244
We consider the new divisor 478 and the new remainder 244,and apply the division lemma to get
478 = 244 x 1 + 234
We consider the new divisor 244 and the new remainder 234,and apply the division lemma to get
244 = 234 x 1 + 10
We consider the new divisor 234 and the new remainder 10,and apply the division lemma to get
234 = 10 x 23 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2644 and 4566 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(234,10) = HCF(244,234) = HCF(478,244) = HCF(722,478) = HCF(1922,722) = HCF(2644,1922) = HCF(4566,2644) .
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Frequently Asked Questions on HCF of 2644, 4566 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 2644, 4566?
Answer: HCF of 2644, 4566 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2644, 4566 using Euclid's Algorithm?
Answer: For arbitrary numbers 2644, 4566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.