Highest Common Factor of 9645, 4939 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 9645, 4939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9645, 4939 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 9645, 4939 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 9645, 4939 is 1.
HCF(9645, 4939) = 1
HCF of 9645, 4939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9645, 4939 is 1.
Highest Common Factor of 9645,4939 is 1
Step 1: Since 9645 > 4939, we apply the division lemma to 9645 and 4939, to get
9645 = 4939 x 1 + 4706
Step 2: Since the reminder 4939 ≠ 0, we apply division lemma to 4706 and 4939, to get
4939 = 4706 x 1 + 233
Step 3: We consider the new divisor 4706 and the new remainder 233, and apply the division lemma to get
4706 = 233 x 20 + 46
We consider the new divisor 233 and the new remainder 46,and apply the division lemma to get
233 = 46 x 5 + 3
We consider the new divisor 46 and the new remainder 3,and apply the division lemma to get
46 = 3 x 15 + 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 9645 and 4939 is 1
Notice that 1 = HCF(3,1) = HCF(46,3) = HCF(233,46) = HCF(4706,233) = HCF(4939,4706) = HCF(9645,4939) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9645, 4939 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 9645, 4939?
Answer: HCF of 9645, 4939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9645, 4939 using Euclid's Algorithm?
Answer: For arbitrary numbers 9645, 4939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.