Greatest Common Factor of 1864/45, 1904/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1864/45, 1904/368

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 1864/45,1904/368

Given fractions are 1864/45,1904/368

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 1864,1904

Greatest Common Factor of Numerators i.e. GCF of 1864,1904 is 8 .

LCM of Denominators means LCM of 45,368 as per the given fractions.

LCM of 45,368 is 16560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1864,1904

GCF of Fractions 1864/45,1904/368 is 8/16560

2 1864, 1904
2 932, 952
2 466, 476
233, 238

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1864,1904 By Matching Biggest Common Factor Method

Greatest Common Factor of 1864,1904 By Matching Biggest Common Factor Method

Factors of 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1,2,4,8,233,466,932,1864

Factors of 1904

List of positive integer factors of 1904 that divides 1904 without a remainder.

1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904

Greatest Common Factor

We found the factors 1864,1904 . The biggest common factor number is the GCF number.
So the greatest common factor 1864,1904 is 8.

Lets's calculate LCM of 45,368

Given numbers has no common factors except 1. So, there LCM is their product i.e 16560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/16560

Therefore, the GCF of Fractions 1864/45,1904/368 is 8/16560

Least Common Multiple of 45,368 with GCF Formula

Least Common Multiple of 45,368 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 45,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,368) = 1

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

GCF(45,368) x common factors =1 x 1 = 1

LCM(45,368) = ( 45 × 368 ) / 1

LCM(45,368) = 16560 / 1

LCM(45,368) = 16560


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 1864/45, 1904/368

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 1864/45, 1904/368?

Answer: GCF of Numerators as per given numbers 1864/45, 1904/368 is

GCF of Numerators i.e. for 1864,1904 is 8

LCM of denominators i.e. for 45,368 is 16560.

Thus, GCF of Fractions is 8/16560.Finally, GCF of Fractions for 1864/45, 1904/368 is 8/16560.