Greatest Common Factor of 779/15, 563/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/15, 563/112

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 779/15,563/112

Given fractions are 779/15,563/112

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 779,563

Greatest Common Factor of Numerators i.e. GCF of 779,563 is 1 .

LCM of Denominators means LCM of 15,112 as per the given fractions.

LCM of 15,112 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,563

GCF of Fractions 779/15,563/112 is 1/1680

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

Greatest Common Factor of 779,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,563 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 779,563 . The biggest common factor number is the GCF number.
So the greatest common factor 779,563 is 1.

Lets's calculate LCM of 15,112

Given numbers has no common factors except 1. So, there LCM is their product i.e 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 779/15,563/112 is 1/1680

Least Common Multiple of 15,112 with GCF Formula

Least Common Multiple of 15,112 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 15,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,112) = 1

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

GCF(15,112) x common factors =1 x 1 = 1

LCM(15,112) = ( 15 × 112 ) / 1

LCM(15,112) = 1680 / 1

LCM(15,112) = 1680


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 779/15, 563/112

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 779/15, 563/112?

Answer: GCF of Numerators as per given numbers 779/15, 563/112 is

GCF of Numerators i.e. for 779,563 is 1

LCM of denominators i.e. for 15,112 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 779/15, 563/112 is 1/1680.