Highest Common Factor of 4582, 5930 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 4582, 5930 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4582, 5930 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 4582, 5930 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 4582, 5930 is 2.
HCF(4582, 5930) = 2
HCF of 4582, 5930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4582, 5930 is 2.
Highest Common Factor of 4582,5930 is 2
Step 1: Since 5930 > 4582, we apply the division lemma to 5930 and 4582, to get
5930 = 4582 x 1 + 1348
Step 2: Since the reminder 4582 ≠ 0, we apply division lemma to 1348 and 4582, to get
4582 = 1348 x 3 + 538
Step 3: We consider the new divisor 1348 and the new remainder 538, and apply the division lemma to get
1348 = 538 x 2 + 272
We consider the new divisor 538 and the new remainder 272,and apply the division lemma to get
538 = 272 x 1 + 266
We consider the new divisor 272 and the new remainder 266,and apply the division lemma to get
272 = 266 x 1 + 6
We consider the new divisor 266 and the new remainder 6,and apply the division lemma to get
266 = 6 x 44 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4582 and 5930 is 2
Notice that 2 = HCF(6,2) = HCF(266,6) = HCF(272,266) = HCF(538,272) = HCF(1348,538) = HCF(4582,1348) = HCF(5930,4582) .
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Frequently Asked Questions on HCF of 4582, 5930 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 4582, 5930?
Answer: HCF of 4582, 5930 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4582, 5930 using Euclid's Algorithm?
Answer: For arbitrary numbers 4582, 5930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
