Greatest Common Factor of 1654/247, 7040/8109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1654/247, 7040/8109

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 1654/247,7040/8109

Given fractions are 1654/247,7040/8109

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 1654,7040

Greatest Common Factor of Numerators i.e. GCF of 1654,7040 is 2 .

LCM of Denominators means LCM of 247,8109 as per the given fractions.

LCM of 247,8109 is 2002923 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1654,7040

GCF of Fractions 1654/247,7040/8109 is 2/2002923

2 1654, 7040
827, 3520

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1654,7040 By Matching Biggest Common Factor Method

Greatest Common Factor of 1654,7040 By Matching Biggest Common Factor Method

Factors of 1654

List of positive integer factors of 1654 that divides 1654 without a remainder.

1,2,827,1654

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040

Greatest Common Factor

We found the factors 1654,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 1654,7040 is 2.

Lets's calculate LCM of 247,8109

Given numbers has no common factors except 1. So, there LCM is their product i.e 2002923

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2002923

Therefore, the GCF of Fractions 1654/247,7040/8109 is 2/2002923

Least Common Multiple of 247,8109 with GCF Formula

Least Common Multiple of 247,8109 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 247,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,8109) = 1

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

GCF(247,8109) x common factors =1 x 1 = 1

LCM(247,8109) = ( 247 × 8109 ) / 1

LCM(247,8109) = 2002923 / 1

LCM(247,8109) = 2002923


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 1654/247, 7040/8109

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 1654/247, 7040/8109?

Answer: GCF of Numerators as per given numbers 1654/247, 7040/8109 is

GCF of Numerators i.e. for 1654,7040 is 2

LCM of denominators i.e. for 247,8109 is 2002923.

Thus, GCF of Fractions is 2/2002923.Finally, GCF of Fractions for 1654/247, 7040/8109 is 2/2002923.