Highest Common Factor of 4212, 972 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 4212, 972 i.e. 324 the largest integer that leaves a remainder zero for all numbers.
HCF of 4212, 972 is 324 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 4212, 972 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 4212, 972 is 324.
HCF(4212, 972) = 324
HCF of 4212, 972 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4212, 972 is 324.
Highest Common Factor of 4212,972 is 324
Step 1: Since 4212 > 972, we apply the division lemma to 4212 and 972, to get
4212 = 972 x 4 + 324
Step 2: Since the reminder 972 ≠ 0, we apply division lemma to 324 and 972, to get
972 = 324 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 324, the HCF of 4212 and 972 is 324
Notice that 324 = HCF(972,324) = HCF(4212,972) .
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Frequently Asked Questions on HCF of 4212, 972 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 4212, 972?
Answer: HCF of 4212, 972 is 324 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4212, 972 using Euclid's Algorithm?
Answer: For arbitrary numbers 4212, 972 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.