Greatest Common Factor of 756/45, 932/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/45, 932/998

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 756/45,932/998

Given fractions are 756/45,932/998

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 756,932

Greatest Common Factor of Numerators i.e. GCF of 756,932 is 4 .

LCM of Denominators means LCM of 45,998 as per the given fractions.

LCM of 45,998 is 44910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,932

GCF of Fractions 756/45,932/998 is 4/44910

2 756, 932
2 378, 466
189, 233

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

Greatest Common Factor of 756,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,932 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 756,932 . The biggest common factor number is the GCF number.
So the greatest common factor 756,932 is 4.

Lets's calculate LCM of 45,998

Given numbers has no common factors except 1. So, there LCM is their product i.e 44910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/44910

Therefore, the GCF of Fractions 756/45,932/998 is 4/44910

Least Common Multiple of 45,998 with GCF Formula

Least Common Multiple of 45,998 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 45,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,998) = 1

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

GCF(45,998) x common factors =1 x 1 = 1

LCM(45,998) = ( 45 × 998 ) / 1

LCM(45,998) = 44910 / 1

LCM(45,998) = 44910


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 756/45, 932/998

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 756/45, 932/998?

Answer: GCF of Numerators as per given numbers 756/45, 932/998 is

GCF of Numerators i.e. for 756,932 is 4

LCM of denominators i.e. for 45,998 is 44910.

Thus, GCF of Fractions is 4/44910.Finally, GCF of Fractions for 756/45, 932/998 is 4/44910.