Greatest Common Factor of 2740/732, 8040/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2740/732, 8040/662

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 2740/732,8040/662

Given fractions are 2740/732,8040/662

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 2740,8040

Greatest Common Factor of Numerators i.e. GCF of 2740,8040 is 20 .

LCM of Denominators means LCM of 732,662 as per the given fractions.

LCM of 732,662 is 242292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2740,8040

GCF of Fractions 2740/732,8040/662 is 20/242292

2 2740, 8040
2 1370, 4020
5 685, 2010
137, 402

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 2740,8040 By Matching Biggest Common Factor Method

Greatest Common Factor of 2740,8040 By Matching Biggest Common Factor Method

Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Factors of 8040

List of positive integer factors of 8040 that divides 8040 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040

Greatest Common Factor

We found the factors 2740,8040 . The biggest common factor number is the GCF number.
So the greatest common factor 2740,8040 is 20.

Lets's calculate LCM of 732,662

2 732, 662
366, 331

∴ So the LCM of the given numbers is 2 x 366 x 331 = 242292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/242292

Therefore, the GCF of Fractions 2740/732,8040/662 is 20/242292

Least Common Multiple of 732,662 with GCF Formula

Least Common Multiple of 732,662 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 732,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,662) = 2

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

GCF(732,662) x common factors =2 x 1 = 2

LCM(732,662) = ( 732 × 662 ) / 2

LCM(732,662) = 484584 / 2

LCM(732,662) = 242292


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 2740/732, 8040/662

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 2740/732, 8040/662?

Answer: GCF of Numerators as per given numbers 2740/732, 8040/662 is

GCF of Numerators i.e. for 2740,8040 is 20

LCM of denominators i.e. for 732,662 is 242292.

Thus, GCF of Fractions is 20/242292.Finally, GCF of Fractions for 2740/732, 8040/662 is 20/242292.