Greatest Common Factor of 56/745, 24/505, 298/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/745, 24/505, 298/689

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 56/745,24/505,298/689

Given fractions are 56/745,24/505,298/689

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 56,24,298

Greatest Common Factor of Numerators i.e. GCF of 56,24,298 is 2 .

LCM of Denominators means LCM of 745,505,689 as per the given fractions.

LCM of 745,505,689 is 51843805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,24,298

GCF of Fractions 56/745,24/505,298/689 is 2/51843805

2 56, 24, 298
28, 12, 149

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

Greatest Common Factor of 56,24,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,24,298 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 56,24,298 . The biggest common factor number is the GCF number.
So the greatest common factor 56,24,298 is 2.

Lets's calculate LCM of 745,505,689

5 745, 505, 689
149, 101, 689

∴ So the LCM of the given numbers is 5 x 149 x 101 x 689 = 51843805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51843805

Therefore, the GCF of Fractions 56/745,24/505,298/689 is 2/51843805

Least Common Multiple of 745,505,689 with GCF Formula

Least Common Multiple of 745,505,689 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 745,505,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,505,689) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(745,505,689) x common factors =1 x 5 = 5

LCM(745,505,689) = ( 745 × 505 × 689 ) / 5

LCM(745,505,689) = 259219025 / 5

LCM(745,505,689) = 51843805


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 56/745, 24/505, 298/689

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 56/745, 24/505, 298/689?

Answer: GCF of Numerators as per given numbers 56/745, 24/505, 298/689 is

GCF of Numerators i.e. for 56,24,298 is 2

LCM of denominators i.e. for 745,505,689 is 51843805.

Thus, GCF of Fractions is 2/51843805.Finally, GCF of Fractions for 56/745, 24/505, 298/689 is 2/51843805.