Greatest Common Factor of 1890/667, 2112/5848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1890/667, 2112/5848

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 1890/667,2112/5848

Given fractions are 1890/667,2112/5848

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 1890,2112

Greatest Common Factor of Numerators i.e. GCF of 1890,2112 is 6 .

LCM of Denominators means LCM of 667,5848 as per the given fractions.

LCM of 667,5848 is 3900616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1890,2112

GCF of Fractions 1890/667,2112/5848 is 6/3900616

2 1890, 2112
3 945, 1056
315, 352

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1890,2112 By Matching Biggest Common Factor Method

Greatest Common Factor of 1890,2112 By Matching Biggest Common Factor Method

Factors of 1890

List of positive integer factors of 1890 that divides 1890 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890

Factors of 2112

List of positive integer factors of 2112 that divides 2112 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112

Greatest Common Factor

We found the factors 1890,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 1890,2112 is 6.

Lets's calculate LCM of 667,5848

Given numbers has no common factors except 1. So, there LCM is their product i.e 3900616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3900616

Therefore, the GCF of Fractions 1890/667,2112/5848 is 6/3900616

Least Common Multiple of 667,5848 with GCF Formula

Least Common Multiple of 667,5848 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 667,5848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,5848) = 1

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

GCF(667,5848) x common factors =1 x 1 = 1

LCM(667,5848) = ( 667 × 5848 ) / 1

LCM(667,5848) = 3900616 / 1

LCM(667,5848) = 3900616


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 1890/667, 2112/5848

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 1890/667, 2112/5848?

Answer: GCF of Numerators as per given numbers 1890/667, 2112/5848 is

GCF of Numerators i.e. for 1890,2112 is 6

LCM of denominators i.e. for 667,5848 is 3900616.

Thus, GCF of Fractions is 6/3900616.Finally, GCF of Fractions for 1890/667, 2112/5848 is 6/3900616.