Greatest Common Factor of 2745/351, 1920/3518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2745/351, 1920/3518

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 2745/351,1920/3518

Given fractions are 2745/351,1920/3518

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 2745,1920

Greatest Common Factor of Numerators i.e. GCF of 2745,1920 is 15 .

LCM of Denominators means LCM of 351,3518 as per the given fractions.

LCM of 351,3518 is 1234818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2745,1920

GCF of Fractions 2745/351,1920/3518 is 15/1234818

3 2745, 1920
5 915, 640
183, 128

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 2745,1920 By Matching Biggest Common Factor Method

Greatest Common Factor of 2745,1920 By Matching Biggest Common Factor Method

Factors of 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1,3,5,9,15,45,61,183,305,549,915,2745

Factors of 1920

List of positive integer factors of 1920 that divides 1920 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920

Greatest Common Factor

We found the factors 2745,1920 . The biggest common factor number is the GCF number.
So the greatest common factor 2745,1920 is 15.

Lets's calculate LCM of 351,3518

Given numbers has no common factors except 1. So, there LCM is their product i.e 1234818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1234818

Therefore, the GCF of Fractions 2745/351,1920/3518 is 15/1234818

Least Common Multiple of 351,3518 with GCF Formula

Least Common Multiple of 351,3518 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 351,3518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,3518) = 1

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

GCF(351,3518) x common factors =1 x 1 = 1

LCM(351,3518) = ( 351 × 3518 ) / 1

LCM(351,3518) = 1234818 / 1

LCM(351,3518) = 1234818


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 2745/351, 1920/3518

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 2745/351, 1920/3518?

Answer: GCF of Numerators as per given numbers 2745/351, 1920/3518 is

GCF of Numerators i.e. for 2745,1920 is 15

LCM of denominators i.e. for 351,3518 is 1234818.

Thus, GCF of Fractions is 15/1234818.Finally, GCF of Fractions for 2745/351, 1920/3518 is 15/1234818.