Greatest Common Factor of 728/689, 292/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/689, 292/157

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 728/689,292/157

Given fractions are 728/689,292/157

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 728,292

Greatest Common Factor of Numerators i.e. GCF of 728,292 is 4 .

LCM of Denominators means LCM of 689,157 as per the given fractions.

LCM of 689,157 is 108173 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,292

GCF of Fractions 728/689,292/157 is 4/108173

2 728, 292
2 364, 146
182, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 728,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,292 By Matching Biggest Common Factor Method

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

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 728,292 . The biggest common factor number is the GCF number.
So the greatest common factor 728,292 is 4.

Lets's calculate LCM of 689,157

Given numbers has no common factors except 1. So, there LCM is their product i.e 108173

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/108173

Therefore, the GCF of Fractions 728/689,292/157 is 4/108173

Least Common Multiple of 689,157 with GCF Formula

Least Common Multiple of 689,157 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 689,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,157) = 1

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

GCF(689,157) x common factors =1 x 1 = 1

LCM(689,157) = ( 689 × 157 ) / 1

LCM(689,157) = 108173 / 1

LCM(689,157) = 108173


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 728/689, 292/157

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 728/689, 292/157?

Answer: GCF of Numerators as per given numbers 728/689, 292/157 is

GCF of Numerators i.e. for 728,292 is 4

LCM of denominators i.e. for 689,157 is 108173.

Thus, GCF of Fractions is 4/108173.Finally, GCF of Fractions for 728/689, 292/157 is 4/108173.