Greatest Common Factor of 112/76, 969/88, 496/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 112/76, 969/88, 496/743

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 112/76,969/88,496/743

Given fractions are 112/76,969/88,496/743

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 112,969,496

Greatest Common Factor of Numerators i.e. GCF of 112,969,496 is 1 .

LCM of Denominators means LCM of 76,88,743 as per the given fractions.

LCM of 76,88,743 is 1242296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,969,496

GCF of Fractions 112/76,969/88,496/743 is 1/1242296

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

Greatest Common Factor of 112,969,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,969,496 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 112,969,496 . The biggest common factor number is the GCF number.
So the greatest common factor 112,969,496 is 1.


Lets's calculate LCM of 76,88,743

2 76, 88, 743
2 38, 44, 743
19, 22, 743

∴ So the LCM of the given numbers is 2 x 2 x 19 x 22 x 743 = 1242296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242296

Therefore, the GCF of Fractions 112/76,969/88,496/743 is 1/1242296

Least Common Multiple of 76,88,743 with GCF Formula

Least Common Multiple of 76,88,743 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 76,88,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,88,743) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,88,743) x common factors =1 x 4 = 4

LCM(76,88,743) = ( 76 × 88 × 743 ) / 4

LCM(76,88,743) = 4969184 / 4

LCM(76,88,743) = 1242296


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 112/76, 969/88, 496/743

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 112/76, 969/88, 496/743?

Answer: GCF of Numerators as per given numbers 112/76, 969/88, 496/743 is

GCF of Numerators i.e. for 112,969,496 is 1

LCM of denominators i.e. for 76,88,743 is 1242296.

Thus, GCF of Fractions is 1/1242296.Finally, GCF of Fractions for 112/76, 969/88, 496/743 is 1/1242296.