Greatest Common Factor of 605/455, 718/717, 472/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/455, 718/717, 472/448

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 605/455,718/717,472/448

Given fractions are 605/455,718/717,472/448

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 605,718,472

Greatest Common Factor of Numerators i.e. GCF of 605,718,472 is 1 .

LCM of Denominators means LCM of 455,717,448 as per the given fractions.

LCM of 455,717,448 is 20879040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,718,472

GCF of Fractions 605/455,718/717,472/448 is 1/20879040

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

Greatest Common Factor of 605,718,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,718,472 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 605,718,472 . The biggest common factor number is the GCF number.
So the greatest common factor 605,718,472 is 1.

Lets's calculate LCM of 455,717,448

7 455, 717, 448
65, 717, 64

∴ So the LCM of the given numbers is 7 x 65 x 717 x 64 = 20879040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20879040

Therefore, the GCF of Fractions 605/455,718/717,472/448 is 1/20879040

Least Common Multiple of 455,717,448 with GCF Formula

Least Common Multiple of 455,717,448 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 455,717,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,717,448) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(455,717,448) x common factors =1 x 7 = 7

LCM(455,717,448) = ( 455 × 717 × 448 ) / 7

LCM(455,717,448) = 146153280 / 7

LCM(455,717,448) = 20879040


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 605/455, 718/717, 472/448

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 605/455, 718/717, 472/448?

Answer: GCF of Numerators as per given numbers 605/455, 718/717, 472/448 is

GCF of Numerators i.e. for 605,718,472 is 1

LCM of denominators i.e. for 455,717,448 is 20879040.

Thus, GCF of Fractions is 1/20879040.Finally, GCF of Fractions for 605/455, 718/717, 472/448 is 1/20879040.