Greatest Common Factor of 2487/688, 7105/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2487/688, 7105/426

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 2487/688,7105/426

Given fractions are 2487/688,7105/426

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 2487,7105

Greatest Common Factor of Numerators i.e. GCF of 2487,7105 is 1 .

LCM of Denominators means LCM of 688,426 as per the given fractions.

LCM of 688,426 is 146544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2487,7105

GCF of Fractions 2487/688,7105/426 is 1/146544

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

Greatest Common Factor of 2487,7105 By Matching Biggest Common Factor Method

Greatest Common Factor of 2487,7105 By Matching Biggest Common Factor Method

Factors of 2487

List of positive integer factors of 2487 that divides 2487 without a remainder.

1,3,829,2487

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1,5,7,29,35,49,145,203,245,1015,1421,7105

Greatest Common Factor

We found the factors 2487,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 2487,7105 is 1.

Lets's calculate LCM of 688,426

2 688, 426
344, 213

∴ So the LCM of the given numbers is 2 x 344 x 213 = 146544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146544

Therefore, the GCF of Fractions 2487/688,7105/426 is 1/146544

Least Common Multiple of 688,426 with GCF Formula

Least Common Multiple of 688,426 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 688,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,426) = 2

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

GCF(688,426) x common factors =2 x 1 = 2

LCM(688,426) = ( 688 × 426 ) / 2

LCM(688,426) = 293088 / 2

LCM(688,426) = 146544


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 2487/688, 7105/426

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 2487/688, 7105/426?

Answer: GCF of Numerators as per given numbers 2487/688, 7105/426 is

GCF of Numerators i.e. for 2487,7105 is 1

LCM of denominators i.e. for 688,426 is 146544.

Thus, GCF of Fractions is 1/146544.Finally, GCF of Fractions for 2487/688, 7105/426 is 1/146544.