Greatest Common Factor of 944/296, 178/336, 466/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 944/296, 178/336, 466/144

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 944/296,178/336,466/144

Given fractions are 944/296,178/336,466/144

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 944,178,466

Greatest Common Factor of Numerators i.e. GCF of 944,178,466 is 2 .

LCM of Denominators means LCM of 296,336,144 as per the given fractions.

LCM of 296,336,144 is 37296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 944,178,466

GCF of Fractions 944/296,178/336,466/144 is 2/37296

2 944, 178, 466
472, 89, 233

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

Greatest Common Factor of 944,178,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,178,466 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 944,178,466 . The biggest common factor number is the GCF number.
So the greatest common factor 944,178,466 is 2.

Lets's calculate LCM of 296,336,144

2 296, 336, 144
2 148, 168, 72
2 74, 84, 36
2 37, 42, 18
3 37, 21, 9
37, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 37 x 7 x 3 = 37296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37296

Therefore, the GCF of Fractions 944/296,178/336,466/144 is 2/37296

Least Common Multiple of 296,336,144 with GCF Formula

Least Common Multiple of 296,336,144 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 296,336,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,336,144) = 8

common factors(in case of two or more numbers have common factors) = 48

GCF(296,336,144) x common factors =8 x 48 = 384

LCM(296,336,144) = ( 296 × 336 × 144 ) / 384

LCM(296,336,144) = 14321664 / 384

LCM(296,336,144) = 37296


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 944/296, 178/336, 466/144

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 944/296, 178/336, 466/144?

Answer: GCF of Numerators as per given numbers 944/296, 178/336, 466/144 is

GCF of Numerators i.e. for 944,178,466 is 2

LCM of denominators i.e. for 296,336,144 is 37296.

Thus, GCF of Fractions is 2/37296.Finally, GCF of Fractions for 944/296, 178/336, 466/144 is 2/37296.