Highest Common Factor of 6135, 9491 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 6135, 9491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6135, 9491 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 6135, 9491 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 6135, 9491 is 1.
HCF(6135, 9491) = 1
HCF of 6135, 9491 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6135, 9491 is 1.
Highest Common Factor of 6135,9491 is 1
Step 1: Since 9491 > 6135, we apply the division lemma to 9491 and 6135, to get
9491 = 6135 x 1 + 3356
Step 2: Since the reminder 6135 ≠ 0, we apply division lemma to 3356 and 6135, to get
6135 = 3356 x 1 + 2779
Step 3: We consider the new divisor 3356 and the new remainder 2779, and apply the division lemma to get
3356 = 2779 x 1 + 577
We consider the new divisor 2779 and the new remainder 577,and apply the division lemma to get
2779 = 577 x 4 + 471
We consider the new divisor 577 and the new remainder 471,and apply the division lemma to get
577 = 471 x 1 + 106
We consider the new divisor 471 and the new remainder 106,and apply the division lemma to get
471 = 106 x 4 + 47
We consider the new divisor 106 and the new remainder 47,and apply the division lemma to get
106 = 47 x 2 + 12
We consider the new divisor 47 and the new remainder 12,and apply the division lemma to get
47 = 12 x 3 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6135 and 9491 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) = HCF(106,47) = HCF(471,106) = HCF(577,471) = HCF(2779,577) = HCF(3356,2779) = HCF(6135,3356) = HCF(9491,6135) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6135, 9491 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 6135, 9491?
Answer: HCF of 6135, 9491 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6135, 9491 using Euclid's Algorithm?
Answer: For arbitrary numbers 6135, 9491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.