Greatest Common Factor of 944/45, 769/55, 598/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 944/45, 769/55, 598/228

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 944/45,769/55,598/228

Given fractions are 944/45,769/55,598/228

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 944,769,598

Greatest Common Factor of Numerators i.e. GCF of 944,769,598 is 1 .

LCM of Denominators means LCM of 45,55,228 as per the given fractions.

LCM of 45,55,228 is 37620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 944,769,598

GCF of Fractions 944/45,769/55,598/228 is 1/37620

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

Greatest Common Factor of 944,769,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,769,598 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 944,769,598 . The biggest common factor number is the GCF number.
So the greatest common factor 944,769,598 is 1.

Lets's calculate LCM of 45,55,228

3 45, 55, 228
5 15, 55, 76
3, 11, 76

∴ So the LCM of the given numbers is 3 x 5 x 3 x 11 x 76 = 37620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37620

Therefore, the GCF of Fractions 944/45,769/55,598/228 is 1/37620

Least Common Multiple of 45,55,228 with GCF Formula

Least Common Multiple of 45,55,228 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 45,55,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,55,228) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,55,228) x common factors =1 x 15 = 15

LCM(45,55,228) = ( 45 × 55 × 228 ) / 15

LCM(45,55,228) = 564300 / 15

LCM(45,55,228) = 37620


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 944/45, 769/55, 598/228

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 944/45, 769/55, 598/228?

Answer: GCF of Numerators as per given numbers 944/45, 769/55, 598/228 is

GCF of Numerators i.e. for 944,769,598 is 1

LCM of denominators i.e. for 45,55,228 is 37620.

Thus, GCF of Fractions is 1/37620.Finally, GCF of Fractions for 944/45, 769/55, 598/228 is 1/37620.