Greatest Common Factor of 234/154, 775/894, 968/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 234/154, 775/894, 968/232

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 234/154,775/894,968/232

Given fractions are 234/154,775/894,968/232

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 234,775,968

Greatest Common Factor of Numerators i.e. GCF of 234,775,968 is 1 .

LCM of Denominators means LCM of 154,894,232 as per the given fractions.

LCM of 154,894,232 is 7985208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 234,775,968

GCF of Fractions 234/154,775/894,968/232 is 1/7985208

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

Greatest Common Factor of 234,775,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,775,968 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 234,775,968 . The biggest common factor number is the GCF number.
So the greatest common factor 234,775,968 is 1.

Lets's calculate LCM of 154,894,232

2 154, 894, 232
77, 447, 116

∴ So the LCM of the given numbers is 2 x 77 x 447 x 116 = 7985208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7985208

Therefore, the GCF of Fractions 234/154,775/894,968/232 is 1/7985208

Least Common Multiple of 154,894,232 with GCF Formula

Least Common Multiple of 154,894,232 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 154,894,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,894,232) = 2

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

GCF(154,894,232) x common factors =2 x 2 = 4

LCM(154,894,232) = ( 154 × 894 × 232 ) / 4

LCM(154,894,232) = 31940832 / 4

LCM(154,894,232) = 7985208


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 234/154, 775/894, 968/232

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 234/154, 775/894, 968/232?

Answer: GCF of Numerators as per given numbers 234/154, 775/894, 968/232 is

GCF of Numerators i.e. for 234,775,968 is 1

LCM of denominators i.e. for 154,894,232 is 7985208.

Thus, GCF of Fractions is 1/7985208.Finally, GCF of Fractions for 234/154, 775/894, 968/232 is 1/7985208.