How to Find GCF of 4520/143, 2568/1464?

GCF of 4520/143, 2568/1464

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4520/143, 2568/1464 i.e 8/209352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4520/143, 2568/1464.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4520/143,2568/1464?

Given fractions are 4520/143,2568/1464

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4520/143,2568/1464, numerators are 4520,2568

Denominators are 143,1464

The GCF of 4520,2568 is 8 .

LCM of 143,1464 is 209352.

The greatest common factor of 4520/143,2568/1464 = [GCF of 4520,2568]/[LCM of 143,1464]= 8/209352

Therefore, the GCF of 4520/143,2568/1464 is 8/209352.

Greatest Common Factor of 4520,2568

To find the highest common factor of 4520,2568, we have to find the factors of both numbers and list the highest common factor.

The factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520

The factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568

The HCF of 4520,2568 is 8.

Lets's calculate GCF of 4520,2568

Greatest Common Factor (GCF) of 4520,2568 By Common Division

2	4520, 2568
2	2260, 1284
2	1130, 642
	565, 321

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4520,2568 By Matching Biggest Common Factor Method

Now, list down the factors of 4520

1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520

Now, list down the factors of 2568

1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568

Greatest Common Factor

We found the factors 4520,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 4520,2568 is 8.

Lets's calculate LCM of 143,1464

Lowest Common Multiple of 143,1464 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 209352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/209352

Therefore, the GCF of Fractions 4520/143,2568/1464 is 8/209352

Least Common Multiple of 143,1464 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 143,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,1464) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(143,1464) x common factors =1 x 1 = 1

LCM(143,1464) = ( 143 × 1464 ) / 1

LCM(143,1464) = 209352 / 1

LCM(143,1464) = 209352

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4520/143, 2568/1464

1. What is the HCF of 4520,2568?

The HCF of 4520,2568 is 8

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 4520/143, 2568/1464?

Answer: GCF of Numerators as per given numbers 4520/143, 2568/1464 is

GCF of Numerators i.e. for 4520,2568 is 8

LCM of denominators i.e. for 143,1464 is 209352.

Thus, GCF of Fractions is 8/209352.Finally, GCF of Fractions for 4520/143, 2568/1464 is 8/209352.