Greatest Common Factor of 430/766, 468/957, 305/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 430/766, 468/957, 305/940

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 430/766,468/957,305/940

Given fractions are 430/766,468/957,305/940

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 430,468,305

Greatest Common Factor of Numerators i.e. GCF of 430,468,305 is 1 .

LCM of Denominators means LCM of 766,957,940 as per the given fractions.

LCM of 766,957,940 is 344539140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,468,305

GCF of Fractions 430/766,468/957,305/940 is 1/344539140

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

Greatest Common Factor of 430,468,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,468,305 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 430,468,305 . The biggest common factor number is the GCF number.
So the greatest common factor 430,468,305 is 1.


Lets's calculate LCM of 766,957,940

2 766, 957, 940
383, 957, 470

∴ So the LCM of the given numbers is 2 x 383 x 957 x 470 = 344539140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344539140

Therefore, the GCF of Fractions 430/766,468/957,305/940 is 1/344539140

Least Common Multiple of 766,957,940 with GCF Formula

Least Common Multiple of 766,957,940 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 766,957,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,957,940) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(766,957,940) x common factors =1 x 2 = 2

LCM(766,957,940) = ( 766 × 957 × 940 ) / 2

LCM(766,957,940) = 689078280 / 2

LCM(766,957,940) = 344539140


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 430/766, 468/957, 305/940

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 430/766, 468/957, 305/940?

Answer: GCF of Numerators as per given numbers 430/766, 468/957, 305/940 is

GCF of Numerators i.e. for 430,468,305 is 1

LCM of denominators i.e. for 766,957,940 is 344539140.

Thus, GCF of Fractions is 1/344539140.Finally, GCF of Fractions for 430/766, 468/957, 305/940 is 1/344539140.