Greatest Common Factor of 677/9974, 728/9140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/9974, 728/9140

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 677/9974,728/9140

Given fractions are 677/9974,728/9140

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 677,728

Greatest Common Factor of Numerators i.e. GCF of 677,728 is 1 .

LCM of Denominators means LCM of 9974,9140 as per the given fractions.

LCM of 9974,9140 is 45581180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,728

GCF of Fractions 677/9974,728/9140 is 1/45581180

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

Greatest Common Factor of 677,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,728 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 677,728 . The biggest common factor number is the GCF number.
So the greatest common factor 677,728 is 1.

Lets's calculate LCM of 9974,9140

2 9974, 9140
4987, 4570

∴ So the LCM of the given numbers is 2 x 4987 x 4570 = 45581180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45581180

Therefore, the GCF of Fractions 677/9974,728/9140 is 1/45581180

Least Common Multiple of 9974,9140 with GCF Formula

Least Common Multiple of 9974,9140 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 9974,9140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9974,9140) = 2

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

GCF(9974,9140) x common factors =2 x 1 = 2

LCM(9974,9140) = ( 9974 × 9140 ) / 2

LCM(9974,9140) = 91162360 / 2

LCM(9974,9140) = 45581180


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 677/9974, 728/9140

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 677/9974, 728/9140?

Answer: GCF of Numerators as per given numbers 677/9974, 728/9140 is

GCF of Numerators i.e. for 677,728 is 1

LCM of denominators i.e. for 9974,9140 is 45581180.

Thus, GCF of Fractions is 1/45581180.Finally, GCF of Fractions for 677/9974, 728/9140 is 1/45581180.