Highest Common Factor of 5082, 3946 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 5082, 3946 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5082, 3946 is 2 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 5082, 3946 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 5082, 3946 is 2.
HCF(5082, 3946) = 2
HCF of 5082, 3946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5082, 3946 is 2.
Highest Common Factor of 5082,3946 is 2
Step 1: Since 5082 > 3946, we apply the division lemma to 5082 and 3946, to get
5082 = 3946 x 1 + 1136
Step 2: Since the reminder 3946 ≠ 0, we apply division lemma to 1136 and 3946, to get
3946 = 1136 x 3 + 538
Step 3: We consider the new divisor 1136 and the new remainder 538, and apply the division lemma to get
1136 = 538 x 2 + 60
We consider the new divisor 538 and the new remainder 60,and apply the division lemma to get
538 = 60 x 8 + 58
We consider the new divisor 60 and the new remainder 58,and apply the division lemma to get
60 = 58 x 1 + 2
We consider the new divisor 58 and the new remainder 2,and apply the division lemma to get
58 = 2 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5082 and 3946 is 2
Notice that 2 = HCF(58,2) = HCF(60,58) = HCF(538,60) = HCF(1136,538) = HCF(3946,1136) = HCF(5082,3946) .
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Frequently Asked Questions on HCF of 5082, 3946 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 5082, 3946?
Answer: HCF of 5082, 3946 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5082, 3946 using Euclid's Algorithm?
Answer: For arbitrary numbers 5082, 3946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.