Greatest Common Factor of 289/942, 1680/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/942, 1680/147

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 289/942,1680/147

Given fractions are 289/942,1680/147

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 289,1680

Greatest Common Factor of Numerators i.e. GCF of 289,1680 is 1 .

LCM of Denominators means LCM of 942,147 as per the given fractions.

LCM of 942,147 is 46158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,1680

GCF of Fractions 289/942,1680/147 is 1/46158

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

Greatest Common Factor of 289,1680 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,1680 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 1680

List of positive integer factors of 1680 that divides 1680 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680

Greatest Common Factor

We found the factors 289,1680 . The biggest common factor number is the GCF number.
So the greatest common factor 289,1680 is 1.

Lets's calculate LCM of 942,147

3 942, 147
314, 49

∴ So the LCM of the given numbers is 3 x 314 x 49 = 46158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46158

Therefore, the GCF of Fractions 289/942,1680/147 is 1/46158

Least Common Multiple of 942,147 with GCF Formula

Least Common Multiple of 942,147 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 942,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,147) = 3

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

GCF(942,147) x common factors =3 x 1 = 3

LCM(942,147) = ( 942 × 147 ) / 3

LCM(942,147) = 138474 / 3

LCM(942,147) = 46158


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 289/942, 1680/147

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 289/942, 1680/147?

Answer: GCF of Numerators as per given numbers 289/942, 1680/147 is

GCF of Numerators i.e. for 289,1680 is 1

LCM of denominators i.e. for 942,147 is 46158.

Thus, GCF of Fractions is 1/46158.Finally, GCF of Fractions for 289/942, 1680/147 is 1/46158.