Highest Common Factor of 5508, 2487 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 5508, 2487 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5508, 2487 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 5508, 2487 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 5508, 2487 is 3.
HCF(5508, 2487) = 3
HCF of 5508, 2487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5508, 2487 is 3.
Highest Common Factor of 5508,2487 is 3
Step 1: Since 5508 > 2487, we apply the division lemma to 5508 and 2487, to get
5508 = 2487 x 2 + 534
Step 2: Since the reminder 2487 ≠ 0, we apply division lemma to 534 and 2487, to get
2487 = 534 x 4 + 351
Step 3: We consider the new divisor 534 and the new remainder 351, and apply the division lemma to get
534 = 351 x 1 + 183
We consider the new divisor 351 and the new remainder 183,and apply the division lemma to get
351 = 183 x 1 + 168
We consider the new divisor 183 and the new remainder 168,and apply the division lemma to get
183 = 168 x 1 + 15
We consider the new divisor 168 and the new remainder 15,and apply the division lemma to get
168 = 15 x 11 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5508 and 2487 is 3
Notice that 3 = HCF(15,3) = HCF(168,15) = HCF(183,168) = HCF(351,183) = HCF(534,351) = HCF(2487,534) = HCF(5508,2487) .
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Frequently Asked Questions on HCF of 5508, 2487 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 5508, 2487?
Answer: HCF of 5508, 2487 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5508, 2487 using Euclid's Algorithm?
Answer: For arbitrary numbers 5508, 2487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.