Greatest Common Factor of 3380/380, 2688/2425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3380/380, 2688/2425

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 3380/380,2688/2425

Given fractions are 3380/380,2688/2425

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 3380,2688

Greatest Common Factor of Numerators i.e. GCF of 3380,2688 is 4 .

LCM of Denominators means LCM of 380,2425 as per the given fractions.

LCM of 380,2425 is 184300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3380,2688

GCF of Fractions 3380/380,2688/2425 is 4/184300

2 3380, 2688
2 1690, 1344
845, 672

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3380,2688 By Matching Biggest Common Factor Method

Greatest Common Factor of 3380,2688 By Matching Biggest Common Factor Method

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Factors of 2688

List of positive integer factors of 2688 that divides 2688 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,336,384,448,672,896,1344,2688

Greatest Common Factor

We found the factors 3380,2688 . The biggest common factor number is the GCF number.
So the greatest common factor 3380,2688 is 4.

Lets's calculate LCM of 380,2425

5 380, 2425
76, 485

∴ So the LCM of the given numbers is 5 x 76 x 485 = 184300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/184300

Therefore, the GCF of Fractions 3380/380,2688/2425 is 4/184300

Least Common Multiple of 380,2425 with GCF Formula

Least Common Multiple of 380,2425 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 380,2425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,2425) = 5

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

GCF(380,2425) x common factors =5 x 1 = 5

LCM(380,2425) = ( 380 × 2425 ) / 5

LCM(380,2425) = 921500 / 5

LCM(380,2425) = 184300


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 3380/380, 2688/2425

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 3380/380, 2688/2425?

Answer: GCF of Numerators as per given numbers 3380/380, 2688/2425 is

GCF of Numerators i.e. for 3380,2688 is 4

LCM of denominators i.e. for 380,2425 is 184300.

Thus, GCF of Fractions is 4/184300.Finally, GCF of Fractions for 3380/380, 2688/2425 is 4/184300.