Greatest Common Factor of 784/387, 109/970, 482/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/387, 109/970, 482/957

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 784/387,109/970,482/957

Given fractions are 784/387,109/970,482/957

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 784,109,482

Greatest Common Factor of Numerators i.e. GCF of 784,109,482 is 1 .

LCM of Denominators means LCM of 387,970,957 as per the given fractions.

LCM of 387,970,957 is 119749410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,109,482

GCF of Fractions 784/387,109/970,482/957 is 1/119749410

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

Greatest Common Factor of 784,109,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,109,482 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 784,109,482 . The biggest common factor number is the GCF number.
So the greatest common factor 784,109,482 is 1.

Lets's calculate LCM of 387,970,957

3 387, 970, 957
129, 970, 319

∴ So the LCM of the given numbers is 3 x 129 x 970 x 319 = 119749410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119749410

Therefore, the GCF of Fractions 784/387,109/970,482/957 is 1/119749410

Least Common Multiple of 387,970,957 with GCF Formula

Least Common Multiple of 387,970,957 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 387,970,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,970,957) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(387,970,957) x common factors =1 x 3 = 3

LCM(387,970,957) = ( 387 × 970 × 957 ) / 3

LCM(387,970,957) = 359248230 / 3

LCM(387,970,957) = 119749410


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 784/387, 109/970, 482/957

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 784/387, 109/970, 482/957?

Answer: GCF of Numerators as per given numbers 784/387, 109/970, 482/957 is

GCF of Numerators i.e. for 784,109,482 is 1

LCM of denominators i.e. for 387,970,957 is 119749410.

Thus, GCF of Fractions is 1/119749410.Finally, GCF of Fractions for 784/387, 109/970, 482/957 is 1/119749410.