Highest Common Factor of 8629, 9648 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 8629, 9648 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8629, 9648 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 8629, 9648 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 8629, 9648 is 1.
HCF(8629, 9648) = 1
HCF of 8629, 9648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8629, 9648 is 1.
Highest Common Factor of 8629,9648 is 1
Step 1: Since 9648 > 8629, we apply the division lemma to 9648 and 8629, to get
9648 = 8629 x 1 + 1019
Step 2: Since the reminder 8629 ≠ 0, we apply division lemma to 1019 and 8629, to get
8629 = 1019 x 8 + 477
Step 3: We consider the new divisor 1019 and the new remainder 477, and apply the division lemma to get
1019 = 477 x 2 + 65
We consider the new divisor 477 and the new remainder 65,and apply the division lemma to get
477 = 65 x 7 + 22
We consider the new divisor 65 and the new remainder 22,and apply the division lemma to get
65 = 22 x 2 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8629 and 9648 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(65,22) = HCF(477,65) = HCF(1019,477) = HCF(8629,1019) = HCF(9648,8629) .
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Frequently Asked Questions on HCF of 8629, 9648 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 8629, 9648?
Answer: HCF of 8629, 9648 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8629, 9648 using Euclid's Algorithm?
Answer: For arbitrary numbers 8629, 9648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.