Greatest Common Factor of 1920/60, 2822/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1920/60, 2822/293

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 1920/60,2822/293

Given fractions are 1920/60,2822/293

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 1920,2822

Greatest Common Factor of Numerators i.e. GCF of 1920,2822 is 2 .

LCM of Denominators means LCM of 60,293 as per the given fractions.

LCM of 60,293 is 17580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1920,2822

GCF of Fractions 1920/60,2822/293 is 2/17580

2 1920, 2822
960, 1411

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

Greatest Common Factor of 1920,2822 By Matching Biggest Common Factor Method

Greatest Common Factor of 1920,2822 By Matching Biggest Common Factor Method

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

Factors of 2822

List of positive integer factors of 2822 that divides 2822 without a remainder.

1,2,17,34,83,166,1411,2822

Greatest Common Factor

We found the factors 1920,2822 . The biggest common factor number is the GCF number.
So the greatest common factor 1920,2822 is 2.

Lets's calculate LCM of 60,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 17580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17580

Therefore, the GCF of Fractions 1920/60,2822/293 is 2/17580

Least Common Multiple of 60,293 with GCF Formula

Least Common Multiple of 60,293 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 60,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,293) = 1

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

GCF(60,293) x common factors =1 x 1 = 1

LCM(60,293) = ( 60 × 293 ) / 1

LCM(60,293) = 17580 / 1

LCM(60,293) = 17580


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 1920/60, 2822/293

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 1920/60, 2822/293?

Answer: GCF of Numerators as per given numbers 1920/60, 2822/293 is

GCF of Numerators i.e. for 1920,2822 is 2

LCM of denominators i.e. for 60,293 is 17580.

Thus, GCF of Fractions is 2/17580.Finally, GCF of Fractions for 1920/60, 2822/293 is 2/17580.