Highest Common Factor of 4627, 9654 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 4627, 9654 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4627, 9654 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 4627, 9654 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 4627, 9654 is 1.
HCF(4627, 9654) = 1
HCF of 4627, 9654 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4627, 9654 is 1.
Highest Common Factor of 4627,9654 is 1
Step 1: Since 9654 > 4627, we apply the division lemma to 9654 and 4627, to get
9654 = 4627 x 2 + 400
Step 2: Since the reminder 4627 ≠ 0, we apply division lemma to 400 and 4627, to get
4627 = 400 x 11 + 227
Step 3: We consider the new divisor 400 and the new remainder 227, and apply the division lemma to get
400 = 227 x 1 + 173
We consider the new divisor 227 and the new remainder 173,and apply the division lemma to get
227 = 173 x 1 + 54
We consider the new divisor 173 and the new remainder 54,and apply the division lemma to get
173 = 54 x 3 + 11
We consider the new divisor 54 and the new remainder 11,and apply the division lemma to get
54 = 11 x 4 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4627 and 9654 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(54,11) = HCF(173,54) = HCF(227,173) = HCF(400,227) = HCF(4627,400) = HCF(9654,4627) .
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Frequently Asked Questions on HCF of 4627, 9654 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 4627, 9654?
Answer: HCF of 4627, 9654 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4627, 9654 using Euclid's Algorithm?
Answer: For arbitrary numbers 4627, 9654 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.