Highest Common Factor of 2518, 1544, 41580 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 2518, 1544, 41580 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2518, 1544, 41580 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 2518, 1544, 41580 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 2518, 1544, 41580 is 2.
HCF(2518, 1544, 41580) = 2
HCF of 2518, 1544, 41580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2518, 1544, 41580 is 2.
Highest Common Factor of 2518,1544,41580 is 2
Step 1: Since 2518 > 1544, we apply the division lemma to 2518 and 1544, to get
2518 = 1544 x 1 + 974
Step 2: Since the reminder 1544 ≠ 0, we apply division lemma to 974 and 1544, to get
1544 = 974 x 1 + 570
Step 3: We consider the new divisor 974 and the new remainder 570, and apply the division lemma to get
974 = 570 x 1 + 404
We consider the new divisor 570 and the new remainder 404,and apply the division lemma to get
570 = 404 x 1 + 166
We consider the new divisor 404 and the new remainder 166,and apply the division lemma to get
404 = 166 x 2 + 72
We consider the new divisor 166 and the new remainder 72,and apply the division lemma to get
166 = 72 x 2 + 22
We consider the new divisor 72 and the new remainder 22,and apply the division lemma to get
72 = 22 x 3 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2518 and 1544 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(72,22) = HCF(166,72) = HCF(404,166) = HCF(570,404) = HCF(974,570) = HCF(1544,974) = HCF(2518,1544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 41580 > 2, we apply the division lemma to 41580 and 2, to get
41580 = 2 x 20790 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 41580 is 2
Notice that 2 = HCF(41580,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2518, 1544, 41580 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 2518, 1544, 41580?
Answer: HCF of 2518, 1544, 41580 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2518, 1544, 41580 using Euclid's Algorithm?
Answer: For arbitrary numbers 2518, 1544, 41580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.