Greatest Common Factor of 2048/703, 7212/1994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2048/703, 7212/1994

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 2048/703,7212/1994

Given fractions are 2048/703,7212/1994

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 2048,7212

Greatest Common Factor of Numerators i.e. GCF of 2048,7212 is 4 .

LCM of Denominators means LCM of 703,1994 as per the given fractions.

LCM of 703,1994 is 1401782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2048,7212

GCF of Fractions 2048/703,7212/1994 is 4/1401782

2 2048, 7212
2 1024, 3606
512, 1803

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

Greatest Common Factor of 2048,7212 By Matching Biggest Common Factor Method

Greatest Common Factor of 2048,7212 By Matching Biggest Common Factor Method

Factors of 2048

List of positive integer factors of 2048 that divides 2048 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024,2048

Factors of 7212

List of positive integer factors of 7212 that divides 7212 without a remainder.

1,2,3,4,6,12,601,1202,1803,2404,3606,7212

Greatest Common Factor

We found the factors 2048,7212 . The biggest common factor number is the GCF number.
So the greatest common factor 2048,7212 is 4.

Lets's calculate LCM of 703,1994

Given numbers has no common factors except 1. So, there LCM is their product i.e 1401782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1401782

Therefore, the GCF of Fractions 2048/703,7212/1994 is 4/1401782

Least Common Multiple of 703,1994 with GCF Formula

Least Common Multiple of 703,1994 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 703,1994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,1994) = 1

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

GCF(703,1994) x common factors =1 x 1 = 1

LCM(703,1994) = ( 703 × 1994 ) / 1

LCM(703,1994) = 1401782 / 1

LCM(703,1994) = 1401782


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 2048/703, 7212/1994

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 2048/703, 7212/1994?

Answer: GCF of Numerators as per given numbers 2048/703, 7212/1994 is

GCF of Numerators i.e. for 2048,7212 is 4

LCM of denominators i.e. for 703,1994 is 1401782.

Thus, GCF of Fractions is 4/1401782.Finally, GCF of Fractions for 2048/703, 7212/1994 is 4/1401782.