Highest Common Factor of 6585, 9254 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 6585, 9254 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6585, 9254 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 6585, 9254 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 6585, 9254 is 1.
HCF(6585, 9254) = 1
HCF of 6585, 9254 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6585, 9254 is 1.
Highest Common Factor of 6585,9254 is 1
Step 1: Since 9254 > 6585, we apply the division lemma to 9254 and 6585, to get
9254 = 6585 x 1 + 2669
Step 2: Since the reminder 6585 ≠ 0, we apply division lemma to 2669 and 6585, to get
6585 = 2669 x 2 + 1247
Step 3: We consider the new divisor 2669 and the new remainder 1247, and apply the division lemma to get
2669 = 1247 x 2 + 175
We consider the new divisor 1247 and the new remainder 175,and apply the division lemma to get
1247 = 175 x 7 + 22
We consider the new divisor 175 and the new remainder 22,and apply the division lemma to get
175 = 22 x 7 + 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 6585 and 9254 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(175,22) = HCF(1247,175) = HCF(2669,1247) = HCF(6585,2669) = HCF(9254,6585) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6585, 9254 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 6585, 9254?
Answer: HCF of 6585, 9254 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6585, 9254 using Euclid's Algorithm?
Answer: For arbitrary numbers 6585, 9254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.