Greatest Common Factor of 460/427, 728/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/427, 728/802

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 460/427,728/802

Given fractions are 460/427,728/802

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 460,728

Greatest Common Factor of Numerators i.e. GCF of 460,728 is 4 .

LCM of Denominators means LCM of 427,802 as per the given fractions.

LCM of 427,802 is 342454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,728

GCF of Fractions 460/427,728/802 is 4/342454

2 460, 728
2 230, 364
115, 182

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 460,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,728 By Matching Biggest Common Factor Method

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

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 460,728 . The biggest common factor number is the GCF number.
So the greatest common factor 460,728 is 4.

Lets's calculate LCM of 427,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 342454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/342454

Therefore, the GCF of Fractions 460/427,728/802 is 4/342454

Least Common Multiple of 427,802 with GCF Formula

Least Common Multiple of 427,802 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 427,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,802) = 1

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

GCF(427,802) x common factors =1 x 1 = 1

LCM(427,802) = ( 427 × 802 ) / 1

LCM(427,802) = 342454 / 1

LCM(427,802) = 342454


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 460/427, 728/802

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 460/427, 728/802?

Answer: GCF of Numerators as per given numbers 460/427, 728/802 is

GCF of Numerators i.e. for 460,728 is 4

LCM of denominators i.e. for 427,802 is 342454.

Thus, GCF of Fractions is 4/342454.Finally, GCF of Fractions for 460/427, 728/802 is 4/342454.