Greatest Common Factor of 418/53, 804/55, 711/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/53, 804/55, 711/79

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 418/53,804/55,711/79

Given fractions are 418/53,804/55,711/79

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 418,804,711

Greatest Common Factor of Numerators i.e. GCF of 418,804,711 is 1 .

LCM of Denominators means LCM of 53,55,79 as per the given fractions.

LCM of 53,55,79 is 230285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,804,711

GCF of Fractions 418/53,804/55,711/79 is 1/230285

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

Greatest Common Factor of 418,804,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,804,711 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

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 418,804,711 . The biggest common factor number is the GCF number.
So the greatest common factor 418,804,711 is 1.

Lets's calculate LCM of 53,55,79

Given numbers has no common factors except 1. So, there LCM is their product i.e 230285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230285

Therefore, the GCF of Fractions 418/53,804/55,711/79 is 1/230285

Least Common Multiple of 53,55,79 with GCF Formula

Least Common Multiple of 53,55,79 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 53,55,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,55,79) = 1

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

GCF(53,55,79) x common factors =1 x 1 = 1

LCM(53,55,79) = ( 53 × 55 × 79 ) / 1

LCM(53,55,79) = 230285 / 1

LCM(53,55,79) = 230285


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 418/53, 804/55, 711/79

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 418/53, 804/55, 711/79?

Answer: GCF of Numerators as per given numbers 418/53, 804/55, 711/79 is

GCF of Numerators i.e. for 418,804,711 is 1

LCM of denominators i.e. for 53,55,79 is 230285.

Thus, GCF of Fractions is 1/230285.Finally, GCF of Fractions for 418/53, 804/55, 711/79 is 1/230285.