Highest Common Factor of 2488, 1916 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 2488, 1916 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2488, 1916 is 4 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 2488, 1916 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 2488, 1916 is 4.
HCF(2488, 1916) = 4
HCF of 2488, 1916 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2488, 1916 is 4.
Highest Common Factor of 2488,1916 is 4
Step 1: Since 2488 > 1916, we apply the division lemma to 2488 and 1916, to get
2488 = 1916 x 1 + 572
Step 2: Since the reminder 1916 ≠ 0, we apply division lemma to 572 and 1916, to get
1916 = 572 x 3 + 200
Step 3: We consider the new divisor 572 and the new remainder 200, and apply the division lemma to get
572 = 200 x 2 + 172
We consider the new divisor 200 and the new remainder 172,and apply the division lemma to get
200 = 172 x 1 + 28
We consider the new divisor 172 and the new remainder 28,and apply the division lemma to get
172 = 28 x 6 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2488 and 1916 is 4
Notice that 4 = HCF(28,4) = HCF(172,28) = HCF(200,172) = HCF(572,200) = HCF(1916,572) = HCF(2488,1916) .
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Frequently Asked Questions on HCF of 2488, 1916 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 2488, 1916?
Answer: HCF of 2488, 1916 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2488, 1916 using Euclid's Algorithm?
Answer: For arbitrary numbers 2488, 1916 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.