Greatest Common Factor of 970/390, 3054/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 970/390, 3054/784

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 970/390,3054/784

Given fractions are 970/390,3054/784

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 970,3054

Greatest Common Factor of Numerators i.e. GCF of 970,3054 is 2 .

LCM of Denominators means LCM of 390,784 as per the given fractions.

LCM of 390,784 is 152880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 970,3054

GCF of Fractions 970/390,3054/784 is 2/152880

2 970, 3054
485, 1527

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

Greatest Common Factor of 970,3054 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,3054 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 3054

List of positive integer factors of 3054 that divides 3054 without a remainder.

1,2,3,6,509,1018,1527,3054

Greatest Common Factor

We found the factors 970,3054 . The biggest common factor number is the GCF number.
So the greatest common factor 970,3054 is 2.

Lets's calculate LCM of 390,784

2 390, 784
195, 392

∴ So the LCM of the given numbers is 2 x 195 x 392 = 152880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152880

Therefore, the GCF of Fractions 970/390,3054/784 is 2/152880

Least Common Multiple of 390,784 with GCF Formula

Least Common Multiple of 390,784 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 390,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,784) = 2

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

GCF(390,784) x common factors =2 x 1 = 2

LCM(390,784) = ( 390 × 784 ) / 2

LCM(390,784) = 305760 / 2

LCM(390,784) = 152880


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 970/390, 3054/784

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 970/390, 3054/784?

Answer: GCF of Numerators as per given numbers 970/390, 3054/784 is

GCF of Numerators i.e. for 970,3054 is 2

LCM of denominators i.e. for 390,784 is 152880.

Thus, GCF of Fractions is 2/152880.Finally, GCF of Fractions for 970/390, 3054/784 is 2/152880.