Greatest Common Factor of 2560/628, 8125/1459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2560/628, 8125/1459

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 2560/628,8125/1459

Given fractions are 2560/628,8125/1459

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2560,8125

Greatest Common Factor of Numerators i.e. GCF of 2560,8125 is 5 .

LCM of Denominators means LCM of 628,1459 as per the given fractions.

LCM of 628,1459 is 916252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2560,8125

GCF of Fractions 2560/628,8125/1459 is 5/916252

5 2560, 8125
512, 1625

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2560,8125 By Matching Biggest Common Factor Method

Greatest Common Factor of 2560,8125 By Matching Biggest Common Factor Method

Factors of 2560

List of positive integer factors of 2560 that divides 2560 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1,5,13,25,65,125,325,625,1625,8125

Greatest Common Factor

We found the factors 2560,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 2560,8125 is 5.

Lets's calculate LCM of 628,1459

Given numbers has no common factors except 1. So, there LCM is their product i.e 916252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/916252

Therefore, the GCF of Fractions 2560/628,8125/1459 is 5/916252

Least Common Multiple of 628,1459 with GCF Formula

Least Common Multiple of 628,1459 with GCF Formula

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

We need to calculate greatest common factor of 628,1459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,1459) = 1

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

GCF(628,1459) x common factors =1 x 1 = 1

LCM(628,1459) = ( 628 × 1459 ) / 1

LCM(628,1459) = 916252 / 1

LCM(628,1459) = 916252


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2560/628, 8125/1459

1. 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.

2. What is the GCF of Fractions for 2560/628, 8125/1459?

Answer: GCF of Numerators as per given numbers 2560/628, 8125/1459 is

GCF of Numerators i.e. for 2560,8125 is 5

LCM of denominators i.e. for 628,1459 is 916252.

Thus, GCF of Fractions is 5/916252.Finally, GCF of Fractions for 2560/628, 8125/1459 is 5/916252.