Greatest Common Factor of 112/15, 565/88, 259/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/15, 565/88, 259/972

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 112/15,565/88,259/972

Given fractions are 112/15,565/88,259/972

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 112,565,259

Greatest Common Factor of Numerators i.e. GCF of 112,565,259 is 1 .

LCM of Denominators means LCM of 15,88,972 as per the given fractions.

LCM of 15,88,972 is 106920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,565,259

GCF of Fractions 112/15,565/88,259/972 is 1/106920

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

Greatest Common Factor of 112,565,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,565,259 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 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 112,565,259 . The biggest common factor number is the GCF number.
So the greatest common factor 112,565,259 is 1.

Lets's calculate LCM of 15,88,972

2 15, 88, 972
2 15, 44, 486
3 15, 22, 243
5, 22, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 22 x 81 = 106920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106920

Therefore, the GCF of Fractions 112/15,565/88,259/972 is 1/106920

Least Common Multiple of 15,88,972 with GCF Formula

Least Common Multiple of 15,88,972 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 15,88,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,88,972) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(15,88,972) x common factors =1 x 12 = 12

LCM(15,88,972) = ( 15 × 88 × 972 ) / 12

LCM(15,88,972) = 1283040 / 12

LCM(15,88,972) = 106920


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 112/15, 565/88, 259/972

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 112/15, 565/88, 259/972?

Answer: GCF of Numerators as per given numbers 112/15, 565/88, 259/972 is

GCF of Numerators i.e. for 112,565,259 is 1

LCM of denominators i.e. for 15,88,972 is 106920.

Thus, GCF of Fractions is 1/106920.Finally, GCF of Fractions for 112/15, 565/88, 259/972 is 1/106920.