Greatest Common Factor of 438/766, 450/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/766, 450/118

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 438/766,450/118

Given fractions are 438/766,450/118

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 438,450

Greatest Common Factor of Numerators i.e. GCF of 438,450 is 6 .

LCM of Denominators means LCM of 766,118 as per the given fractions.

LCM of 766,118 is 45194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,450

GCF of Fractions 438/766,450/118 is 6/45194

2 438, 450
3 219, 225
73, 75

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 438,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,450 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

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

Greatest Common Factor

We found the factors 438,450 . The biggest common factor number is the GCF number.
So the greatest common factor 438,450 is 6.

Lets's calculate LCM of 766,118

2 766, 118
383, 59

∴ So the LCM of the given numbers is 2 x 383 x 59 = 45194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/45194

Therefore, the GCF of Fractions 438/766,450/118 is 6/45194

Least Common Multiple of 766,118 with GCF Formula

Least Common Multiple of 766,118 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 766,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,118) = 2

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

GCF(766,118) x common factors =2 x 1 = 2

LCM(766,118) = ( 766 × 118 ) / 2

LCM(766,118) = 90388 / 2

LCM(766,118) = 45194


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 438/766, 450/118

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 438/766, 450/118?

Answer: GCF of Numerators as per given numbers 438/766, 450/118 is

GCF of Numerators i.e. for 438,450 is 6

LCM of denominators i.e. for 766,118 is 45194.

Thus, GCF of Fractions is 6/45194.Finally, GCF of Fractions for 438/766, 450/118 is 6/45194.