Greatest Common Factor of 4032/974, 1330/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4032/974, 1330/478

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 4032/974,1330/478

Given fractions are 4032/974,1330/478

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 4032,1330

Greatest Common Factor of Numerators i.e. GCF of 4032,1330 is 14 .

LCM of Denominators means LCM of 974,478 as per the given fractions.

LCM of 974,478 is 232786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4032,1330

GCF of Fractions 4032/974,1330/478 is 14/232786

2 4032, 1330
7 2016, 665
288, 95

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4032,1330 By Matching Biggest Common Factor Method

Greatest Common Factor of 4032,1330 By Matching Biggest Common Factor Method

Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032

Factors of 1330

List of positive integer factors of 1330 that divides 1330 without a remainder.

1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330

Greatest Common Factor

We found the factors 4032,1330 . The biggest common factor number is the GCF number.
So the greatest common factor 4032,1330 is 14.

Lets's calculate LCM of 974,478

2 974, 478
487, 239

∴ So the LCM of the given numbers is 2 x 487 x 239 = 232786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/232786

Therefore, the GCF of Fractions 4032/974,1330/478 is 14/232786

Least Common Multiple of 974,478 with GCF Formula

Least Common Multiple of 974,478 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 974,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,478) = 2

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

GCF(974,478) x common factors =2 x 1 = 2

LCM(974,478) = ( 974 × 478 ) / 2

LCM(974,478) = 465572 / 2

LCM(974,478) = 232786


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 4032/974, 1330/478

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 4032/974, 1330/478?

Answer: GCF of Numerators as per given numbers 4032/974, 1330/478 is

GCF of Numerators i.e. for 4032,1330 is 14

LCM of denominators i.e. for 974,478 is 232786.

Thus, GCF of Fractions is 14/232786.Finally, GCF of Fractions for 4032/974, 1330/478 is 14/232786.