Greatest Common Factor of 351/79, 710/19, 777/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/79, 710/19, 777/331

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 351/79,710/19,777/331

Given fractions are 351/79,710/19,777/331

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 351,710,777

Greatest Common Factor of Numerators i.e. GCF of 351,710,777 is 1 .

LCM of Denominators means LCM of 79,19,331 as per the given fractions.

LCM of 79,19,331 is 496831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,710,777

GCF of Fractions 351/79,710/19,777/331 is 1/496831

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

Greatest Common Factor of 351,710,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,710,777 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 351,710,777 . The biggest common factor number is the GCF number.
So the greatest common factor 351,710,777 is 1.

Lets's calculate LCM of 79,19,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 496831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496831

Therefore, the GCF of Fractions 351/79,710/19,777/331 is 1/496831

Least Common Multiple of 79,19,331 with GCF Formula

Least Common Multiple of 79,19,331 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 79,19,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,19,331) = 1

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

GCF(79,19,331) x common factors =1 x 1 = 1

LCM(79,19,331) = ( 79 × 19 × 331 ) / 1

LCM(79,19,331) = 496831 / 1

LCM(79,19,331) = 496831


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 351/79, 710/19, 777/331

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 351/79, 710/19, 777/331?

Answer: GCF of Numerators as per given numbers 351/79, 710/19, 777/331 is

GCF of Numerators i.e. for 351,710,777 is 1

LCM of denominators i.e. for 79,19,331 is 496831.

Thus, GCF of Fractions is 1/496831.Finally, GCF of Fractions for 351/79, 710/19, 777/331 is 1/496831.