Greatest Common Factor of 135/719, 294/336, 776/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/719, 294/336, 776/783

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 135/719,294/336,776/783

Given fractions are 135/719,294/336,776/783

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 135,294,776

Greatest Common Factor of Numerators i.e. GCF of 135,294,776 is 1 .

LCM of Denominators means LCM of 719,336,783 as per the given fractions.

LCM of 719,336,783 is 63053424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,294,776

GCF of Fractions 135/719,294/336,776/783 is 1/63053424

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

Greatest Common Factor of 135,294,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,294,776 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 135,294,776 . The biggest common factor number is the GCF number.
So the greatest common factor 135,294,776 is 1.

Lets's calculate LCM of 719,336,783

3 719, 336, 783
719, 112, 261

∴ So the LCM of the given numbers is 3 x 719 x 112 x 261 = 63053424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63053424

Therefore, the GCF of Fractions 135/719,294/336,776/783 is 1/63053424

Least Common Multiple of 719,336,783 with GCF Formula

Least Common Multiple of 719,336,783 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 719,336,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,336,783) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(719,336,783) x common factors =1 x 3 = 3

LCM(719,336,783) = ( 719 × 336 × 783 ) / 3

LCM(719,336,783) = 189160272 / 3

LCM(719,336,783) = 63053424


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 135/719, 294/336, 776/783

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 135/719, 294/336, 776/783?

Answer: GCF of Numerators as per given numbers 135/719, 294/336, 776/783 is

GCF of Numerators i.e. for 135,294,776 is 1

LCM of denominators i.e. for 719,336,783 is 63053424.

Thus, GCF of Fractions is 1/63053424.Finally, GCF of Fractions for 135/719, 294/336, 776/783 is 1/63053424.