Highest Common Factor of 492, 24682 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 492, 24682 i.e. 82 the largest integer that leaves a remainder zero for all numbers.
HCF of 492, 24682 is 82 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 492, 24682 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 492, 24682 is 82.
HCF(492, 24682) = 82
HCF of 492, 24682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 492, 24682 is 82.
Highest Common Factor of 492,24682 is 82
Step 1: Since 24682 > 492, we apply the division lemma to 24682 and 492, to get
24682 = 492 x 50 + 82
Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 82 and 492, to get
492 = 82 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 82, the HCF of 492 and 24682 is 82
Notice that 82 = HCF(492,82) = HCF(24682,492) .
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Frequently Asked Questions on HCF of 492, 24682 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 492, 24682?
Answer: HCF of 492, 24682 is 82 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 492, 24682 using Euclid's Algorithm?
Answer: For arbitrary numbers 492, 24682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.