Highest Common Factor of 6292, 4212 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 6292, 4212 i.e. 52 the largest integer that leaves a remainder zero for all numbers.
HCF of 6292, 4212 is 52 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 6292, 4212 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 6292, 4212 is 52.
HCF(6292, 4212) = 52
HCF of 6292, 4212 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6292, 4212 is 52.
Highest Common Factor of 6292,4212 is 52
Step 1: Since 6292 > 4212, we apply the division lemma to 6292 and 4212, to get
6292 = 4212 x 1 + 2080
Step 2: Since the reminder 4212 ≠ 0, we apply division lemma to 2080 and 4212, to get
4212 = 2080 x 2 + 52
Step 3: We consider the new divisor 2080 and the new remainder 52, and apply the division lemma to get
2080 = 52 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 6292 and 4212 is 52
Notice that 52 = HCF(2080,52) = HCF(4212,2080) = HCF(6292,4212) .
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Frequently Asked Questions on HCF of 6292, 4212 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 6292, 4212?
Answer: HCF of 6292, 4212 is 52 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6292, 4212 using Euclid's Algorithm?
Answer: For arbitrary numbers 6292, 4212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.