Greatest Common Factor of 2737/104, 4014/1540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2737/104, 4014/1540

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 2737/104,4014/1540

Given fractions are 2737/104,4014/1540

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 2737,4014

Greatest Common Factor of Numerators i.e. GCF of 2737,4014 is 1 .

LCM of Denominators means LCM of 104,1540 as per the given fractions.

LCM of 104,1540 is 40040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2737,4014

GCF of Fractions 2737/104,4014/1540 is 1/40040

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

Greatest Common Factor of 2737,4014 By Matching Biggest Common Factor Method

Greatest Common Factor of 2737,4014 By Matching Biggest Common Factor Method

Factors of 2737

List of positive integer factors of 2737 that divides 2737 without a remainder.

1,7,17,23,119,161,391,2737

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Greatest Common Factor

We found the factors 2737,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 2737,4014 is 1.

Lets's calculate LCM of 104,1540

2 104, 1540
2 52, 770
26, 385

∴ So the LCM of the given numbers is 2 x 2 x 26 x 385 = 40040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40040

Therefore, the GCF of Fractions 2737/104,4014/1540 is 1/40040

Least Common Multiple of 104,1540 with GCF Formula

Least Common Multiple of 104,1540 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 104,1540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,1540) = 4

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

GCF(104,1540) x common factors =4 x 1 = 4

LCM(104,1540) = ( 104 × 1540 ) / 4

LCM(104,1540) = 160160 / 4

LCM(104,1540) = 40040


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 2737/104, 4014/1540

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 2737/104, 4014/1540?

Answer: GCF of Numerators as per given numbers 2737/104, 4014/1540 is

GCF of Numerators i.e. for 2737,4014 is 1

LCM of denominators i.e. for 104,1540 is 40040.

Thus, GCF of Fractions is 1/40040.Finally, GCF of Fractions for 2737/104, 4014/1540 is 1/40040.