Highest Common Factor of 9471, 4621 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 9471, 4621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9471, 4621 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 9471, 4621 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 9471, 4621 is 1.
HCF(9471, 4621) = 1
HCF of 9471, 4621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9471, 4621 is 1.
Highest Common Factor of 9471,4621 is 1
Step 1: Since 9471 > 4621, we apply the division lemma to 9471 and 4621, to get
9471 = 4621 x 2 + 229
Step 2: Since the reminder 4621 ≠ 0, we apply division lemma to 229 and 4621, to get
4621 = 229 x 20 + 41
Step 3: We consider the new divisor 229 and the new remainder 41, and apply the division lemma to get
229 = 41 x 5 + 24
We consider the new divisor 41 and the new remainder 24,and apply the division lemma to get
41 = 24 x 1 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 9471 and 4621 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(41,24) = HCF(229,41) = HCF(4621,229) = HCF(9471,4621) .
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Frequently Asked Questions on HCF of 9471, 4621 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 9471, 4621?
Answer: HCF of 9471, 4621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9471, 4621 using Euclid's Algorithm?
Answer: For arbitrary numbers 9471, 4621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.