Greatest Common Factor of 2654/23, 3680/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2654/23, 3680/998

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 2654/23,3680/998

Given fractions are 2654/23,3680/998

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 2654,3680

Greatest Common Factor of Numerators i.e. GCF of 2654,3680 is 2 .

LCM of Denominators means LCM of 23,998 as per the given fractions.

LCM of 23,998 is 22954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2654,3680

GCF of Fractions 2654/23,3680/998 is 2/22954

2 2654, 3680
1327, 1840

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

Greatest Common Factor of 2654,3680 By Matching Biggest Common Factor Method

Greatest Common Factor of 2654,3680 By Matching Biggest Common Factor Method

Factors of 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1,2,1327,2654

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

Greatest Common Factor

We found the factors 2654,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 2654,3680 is 2.

Lets's calculate LCM of 23,998

Given numbers has no common factors except 1. So, there LCM is their product i.e 22954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22954

Therefore, the GCF of Fractions 2654/23,3680/998 is 2/22954

Least Common Multiple of 23,998 with GCF Formula

Least Common Multiple of 23,998 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 23,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,998) = 1

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

GCF(23,998) x common factors =1 x 1 = 1

LCM(23,998) = ( 23 × 998 ) / 1

LCM(23,998) = 22954 / 1

LCM(23,998) = 22954


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 2654/23, 3680/998

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 2654/23, 3680/998?

Answer: GCF of Numerators as per given numbers 2654/23, 3680/998 is

GCF of Numerators i.e. for 2654,3680 is 2

LCM of denominators i.e. for 23,998 is 22954.

Thus, GCF of Fractions is 2/22954.Finally, GCF of Fractions for 2654/23, 3680/998 is 2/22954.