Highest Common Factor of 4641, 5621 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 4641, 5621 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4641, 5621 is 7 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 4641, 5621 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 4641, 5621 is 7.
HCF(4641, 5621) = 7
HCF of 4641, 5621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4641, 5621 is 7.
Highest Common Factor of 4641,5621 is 7
Step 1: Since 5621 > 4641, we apply the division lemma to 5621 and 4641, to get
5621 = 4641 x 1 + 980
Step 2: Since the reminder 4641 ≠ 0, we apply division lemma to 980 and 4641, to get
4641 = 980 x 4 + 721
Step 3: We consider the new divisor 980 and the new remainder 721, and apply the division lemma to get
980 = 721 x 1 + 259
We consider the new divisor 721 and the new remainder 259,and apply the division lemma to get
721 = 259 x 2 + 203
We consider the new divisor 259 and the new remainder 203,and apply the division lemma to get
259 = 203 x 1 + 56
We consider the new divisor 203 and the new remainder 56,and apply the division lemma to get
203 = 56 x 3 + 35
We consider the new divisor 56 and the new remainder 35,and apply the division lemma to get
56 = 35 x 1 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4641 and 5621 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(56,35) = HCF(203,56) = HCF(259,203) = HCF(721,259) = HCF(980,721) = HCF(4641,980) = HCF(5621,4641) .
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Frequently Asked Questions on HCF of 4641, 5621 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 4641, 5621?
Answer: HCF of 4641, 5621 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4641, 5621 using Euclid's Algorithm?
Answer: For arbitrary numbers 4641, 5621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.