Greatest Common Factor of 784/950, 394/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/950, 394/711

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 784/950,394/711

Given fractions are 784/950,394/711

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 784,394

Greatest Common Factor of Numerators i.e. GCF of 784,394 is 2 .

LCM of Denominators means LCM of 950,711 as per the given fractions.

LCM of 950,711 is 675450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,394

GCF of Fractions 784/950,394/711 is 2/675450

2 784, 394
392, 197

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

Greatest Common Factor of 784,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,394 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 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 784,394 . The biggest common factor number is the GCF number.
So the greatest common factor 784,394 is 2.

Lets's calculate LCM of 950,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 675450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/675450

Therefore, the GCF of Fractions 784/950,394/711 is 2/675450

Least Common Multiple of 950,711 with GCF Formula

Least Common Multiple of 950,711 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 950,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,711) = 1

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

GCF(950,711) x common factors =1 x 1 = 1

LCM(950,711) = ( 950 × 711 ) / 1

LCM(950,711) = 675450 / 1

LCM(950,711) = 675450


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 784/950, 394/711

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 784/950, 394/711?

Answer: GCF of Numerators as per given numbers 784/950, 394/711 is

GCF of Numerators i.e. for 784,394 is 2

LCM of denominators i.e. for 950,711 is 675450.

Thus, GCF of Fractions is 2/675450.Finally, GCF of Fractions for 784/950, 394/711 is 2/675450.