Highest Common Factor of 4587, 5172 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 4587, 5172 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4587, 5172 is 3 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 4587, 5172 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 4587, 5172 is 3.
HCF(4587, 5172) = 3
HCF of 4587, 5172 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4587, 5172 is 3.
Highest Common Factor of 4587,5172 is 3
Step 1: Since 5172 > 4587, we apply the division lemma to 5172 and 4587, to get
5172 = 4587 x 1 + 585
Step 2: Since the reminder 4587 ≠ 0, we apply division lemma to 585 and 4587, to get
4587 = 585 x 7 + 492
Step 3: We consider the new divisor 585 and the new remainder 492, and apply the division lemma to get
585 = 492 x 1 + 93
We consider the new divisor 492 and the new remainder 93,and apply the division lemma to get
492 = 93 x 5 + 27
We consider the new divisor 93 and the new remainder 27,and apply the division lemma to get
93 = 27 x 3 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4587 and 5172 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(93,27) = HCF(492,93) = HCF(585,492) = HCF(4587,585) = HCF(5172,4587) .
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Frequently Asked Questions on HCF of 4587, 5172 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 4587, 5172?
Answer: HCF of 4587, 5172 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4587, 5172 using Euclid's Algorithm?
Answer: For arbitrary numbers 4587, 5172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.