Highest Common Factor of 8957, 3233 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 8957, 3233 i.e. 53 the largest integer that leaves a remainder zero for all numbers.
HCF of 8957, 3233 is 53 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 8957, 3233 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 8957, 3233 is 53.
HCF(8957, 3233) = 53
HCF of 8957, 3233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8957, 3233 is 53.
Highest Common Factor of 8957,3233 is 53
Step 1: Since 8957 > 3233, we apply the division lemma to 8957 and 3233, to get
8957 = 3233 x 2 + 2491
Step 2: Since the reminder 3233 ≠ 0, we apply division lemma to 2491 and 3233, to get
3233 = 2491 x 1 + 742
Step 3: We consider the new divisor 2491 and the new remainder 742, and apply the division lemma to get
2491 = 742 x 3 + 265
We consider the new divisor 742 and the new remainder 265,and apply the division lemma to get
742 = 265 x 2 + 212
We consider the new divisor 265 and the new remainder 212,and apply the division lemma to get
265 = 212 x 1 + 53
We consider the new divisor 212 and the new remainder 53,and apply the division lemma to get
212 = 53 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 8957 and 3233 is 53
Notice that 53 = HCF(212,53) = HCF(265,212) = HCF(742,265) = HCF(2491,742) = HCF(3233,2491) = HCF(8957,3233) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8957, 3233 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 8957, 3233?
Answer: HCF of 8957, 3233 is 53 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8957, 3233 using Euclid's Algorithm?
Answer: For arbitrary numbers 8957, 3233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.