Greatest Common Factor of 640/60, 875/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/60, 875/148

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 640/60,875/148

Given fractions are 640/60,875/148

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 640,875

Greatest Common Factor of Numerators i.e. GCF of 640,875 is 5 .

LCM of Denominators means LCM of 60,148 as per the given fractions.

LCM of 60,148 is 2220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,875

GCF of Fractions 640/60,875/148 is 5/2220

5 640, 875
128, 175

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

Greatest Common Factor of 640,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,875 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

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

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 640,875 . The biggest common factor number is the GCF number.
So the greatest common factor 640,875 is 5.

Lets's calculate LCM of 60,148

2 60, 148
2 30, 74
15, 37

∴ So the LCM of the given numbers is 2 x 2 x 15 x 37 = 2220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2220

Therefore, the GCF of Fractions 640/60,875/148 is 5/2220

Least Common Multiple of 60,148 with GCF Formula

Least Common Multiple of 60,148 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 60,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,148) = 4

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

GCF(60,148) x common factors =4 x 1 = 4

LCM(60,148) = ( 60 × 148 ) / 4

LCM(60,148) = 8880 / 4

LCM(60,148) = 2220


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 640/60, 875/148

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 640/60, 875/148?

Answer: GCF of Numerators as per given numbers 640/60, 875/148 is

GCF of Numerators i.e. for 640,875 is 5

LCM of denominators i.e. for 60,148 is 2220.

Thus, GCF of Fractions is 5/2220.Finally, GCF of Fractions for 640/60, 875/148 is 5/2220.