Greatest Common Factor of 49/660, 125/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/660, 125/653

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 49/660,125/653

Given fractions are 49/660,125/653

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 49,125

Greatest Common Factor of Numerators i.e. GCF of 49,125 is 1 .

LCM of Denominators means LCM of 660,653 as per the given fractions.

LCM of 660,653 is 430980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,125

GCF of Fractions 49/660,125/653 is 1/430980

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 49,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,125 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 49,125 . The biggest common factor number is the GCF number.
So the greatest common factor 49,125 is 1.

Lets's calculate LCM of 660,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 430980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430980

Therefore, the GCF of Fractions 49/660,125/653 is 1/430980

Least Common Multiple of 660,653 with GCF Formula

Least Common Multiple of 660,653 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 660,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,653) = 1

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

GCF(660,653) x common factors =1 x 1 = 1

LCM(660,653) = ( 660 × 653 ) / 1

LCM(660,653) = 430980 / 1

LCM(660,653) = 430980


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 49/660, 125/653

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 49/660, 125/653?

Answer: GCF of Numerators as per given numbers 49/660, 125/653 is

GCF of Numerators i.e. for 49,125 is 1

LCM of denominators i.e. for 660,653 is 430980.

Thus, GCF of Fractions is 1/430980.Finally, GCF of Fractions for 49/660, 125/653 is 1/430980.