Highest Common Factor of 324, 8532 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 324, 8532 i.e. 108 the largest integer that leaves a remainder zero for all numbers.
HCF of 324, 8532 is 108 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 324, 8532 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 324, 8532 is 108.
HCF(324, 8532) = 108
HCF of 324, 8532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 324, 8532 is 108.
Highest Common Factor of 324,8532 is 108
Step 1: Since 8532 > 324, we apply the division lemma to 8532 and 324, to get
8532 = 324 x 26 + 108
Step 2: Since the reminder 324 ≠ 0, we apply division lemma to 108 and 324, to get
324 = 108 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 108, the HCF of 324 and 8532 is 108
Notice that 108 = HCF(324,108) = HCF(8532,324) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 324, 8532 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 324, 8532?
Answer: HCF of 324, 8532 is 108 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 324, 8532 using Euclid's Algorithm?
Answer: For arbitrary numbers 324, 8532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.