Greatest Common Factor of 478/910, 450/301, 460/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/910, 450/301, 460/927

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 478/910,450/301,460/927

Given fractions are 478/910,450/301,460/927

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 478,450,460

Greatest Common Factor of Numerators i.e. GCF of 478,450,460 is 2 .

LCM of Denominators means LCM of 910,301,927 as per the given fractions.

LCM of 910,301,927 is 36273510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,450,460

GCF of Fractions 478/910,450/301,460/927 is 2/36273510

2 478, 450, 460
239, 225, 230

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 478,450,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,450,460 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 478,450,460 . The biggest common factor number is the GCF number.
So the greatest common factor 478,450,460 is 2.

Lets's calculate LCM of 910,301,927

7 910, 301, 927
130, 43, 927

∴ So the LCM of the given numbers is 7 x 130 x 43 x 927 = 36273510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36273510

Therefore, the GCF of Fractions 478/910,450/301,460/927 is 2/36273510

Least Common Multiple of 910,301,927 with GCF Formula

Least Common Multiple of 910,301,927 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 910,301,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,301,927) = 1

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

GCF(910,301,927) x common factors =1 x 7 = 7

LCM(910,301,927) = ( 910 × 301 × 927 ) / 7

LCM(910,301,927) = 253914570 / 7

LCM(910,301,927) = 36273510


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 478/910, 450/301, 460/927

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 478/910, 450/301, 460/927?

Answer: GCF of Numerators as per given numbers 478/910, 450/301, 460/927 is

GCF of Numerators i.e. for 478,450,460 is 2

LCM of denominators i.e. for 910,301,927 is 36273510.

Thus, GCF of Fractions is 2/36273510.Finally, GCF of Fractions for 478/910, 450/301, 460/927 is 2/36273510.