Greatest Common Factor of 2983/214, 3181/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2983/214, 3181/270

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 2983/214,3181/270

Given fractions are 2983/214,3181/270

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 2983,3181

Greatest Common Factor of Numerators i.e. GCF of 2983,3181 is 1 .

LCM of Denominators means LCM of 214,270 as per the given fractions.

LCM of 214,270 is 28890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2983,3181

GCF of Fractions 2983/214,3181/270 is 1/28890

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

Greatest Common Factor of 2983,3181 By Matching Biggest Common Factor Method

Greatest Common Factor of 2983,3181 By Matching Biggest Common Factor Method

Factors of 2983

List of positive integer factors of 2983 that divides 2983 without a remainder.

1,19,157,2983

Factors of 3181

List of positive integer factors of 3181 that divides 3181 without a remainder.

1,3181

Greatest Common Factor

We found the factors 2983,3181 . The biggest common factor number is the GCF number.
So the greatest common factor 2983,3181 is 1.

Lets's calculate LCM of 214,270

2 214, 270
107, 135

∴ So the LCM of the given numbers is 2 x 107 x 135 = 28890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28890

Therefore, the GCF of Fractions 2983/214,3181/270 is 1/28890

Least Common Multiple of 214,270 with GCF Formula

Least Common Multiple of 214,270 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 214,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,270) = 2

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

GCF(214,270) x common factors =2 x 1 = 2

LCM(214,270) = ( 214 × 270 ) / 2

LCM(214,270) = 57780 / 2

LCM(214,270) = 28890


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 2983/214, 3181/270

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 2983/214, 3181/270?

Answer: GCF of Numerators as per given numbers 2983/214, 3181/270 is

GCF of Numerators i.e. for 2983,3181 is 1

LCM of denominators i.e. for 214,270 is 28890.

Thus, GCF of Fractions is 1/28890.Finally, GCF of Fractions for 2983/214, 3181/270 is 1/28890.