Greatest Common Factor of 95/379, 945/840, 711/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/379, 945/840, 711/355

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 95/379,945/840,711/355

Given fractions are 95/379,945/840,711/355

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 95,945,711

Greatest Common Factor of Numerators i.e. GCF of 95,945,711 is 1 .

LCM of Denominators means LCM of 379,840,355 as per the given fractions.

LCM of 379,840,355 is 22603560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,945,711

GCF of Fractions 95/379,945/840,711/355 is 1/22603560

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

Greatest Common Factor of 95,945,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,945,711 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 95,945,711 . The biggest common factor number is the GCF number.
So the greatest common factor 95,945,711 is 1.

Lets's calculate LCM of 379,840,355

5 379, 840, 355
379, 168, 71

∴ So the LCM of the given numbers is 5 x 379 x 168 x 71 = 22603560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22603560

Therefore, the GCF of Fractions 95/379,945/840,711/355 is 1/22603560

Least Common Multiple of 379,840,355 with GCF Formula

Least Common Multiple of 379,840,355 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 379,840,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,840,355) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(379,840,355) x common factors =1 x 5 = 5

LCM(379,840,355) = ( 379 × 840 × 355 ) / 5

LCM(379,840,355) = 113017800 / 5

LCM(379,840,355) = 22603560


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 95/379, 945/840, 711/355

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 95/379, 945/840, 711/355?

Answer: GCF of Numerators as per given numbers 95/379, 945/840, 711/355 is

GCF of Numerators i.e. for 95,945,711 is 1

LCM of denominators i.e. for 379,840,355 is 22603560.

Thus, GCF of Fractions is 1/22603560.Finally, GCF of Fractions for 95/379, 945/840, 711/355 is 1/22603560.