Greatest Common Factor of 2984/10, 1261/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2984/10, 1261/287

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 2984/10,1261/287

Given fractions are 2984/10,1261/287

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 2984,1261

Greatest Common Factor of Numerators i.e. GCF of 2984,1261 is 1 .

LCM of Denominators means LCM of 10,287 as per the given fractions.

LCM of 10,287 is 2870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2984,1261

GCF of Fractions 2984/10,1261/287 is 1/2870

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

Greatest Common Factor of 2984,1261 By Matching Biggest Common Factor Method

Greatest Common Factor of 2984,1261 By Matching Biggest Common Factor Method

Factors of 2984

List of positive integer factors of 2984 that divides 2984 without a remainder.

1,2,4,8,373,746,1492,2984

Factors of 1261

List of positive integer factors of 1261 that divides 1261 without a remainder.

1,13,97,1261

Greatest Common Factor

We found the factors 2984,1261 . The biggest common factor number is the GCF number.
So the greatest common factor 2984,1261 is 1.

Lets's calculate LCM of 10,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 2870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2870

Therefore, the GCF of Fractions 2984/10,1261/287 is 1/2870

Least Common Multiple of 10,287 with GCF Formula

Least Common Multiple of 10,287 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 10,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,287) = 1

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

GCF(10,287) x common factors =1 x 1 = 1

LCM(10,287) = ( 10 × 287 ) / 1

LCM(10,287) = 2870 / 1

LCM(10,287) = 2870


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 2984/10, 1261/287

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 2984/10, 1261/287?

Answer: GCF of Numerators as per given numbers 2984/10, 1261/287 is

GCF of Numerators i.e. for 2984,1261 is 1

LCM of denominators i.e. for 10,287 is 2870.

Thus, GCF of Fractions is 1/2870.Finally, GCF of Fractions for 2984/10, 1261/287 is 1/2870.