Greatest Common Factor of 2142/12, 4445/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2142/12, 4445/445

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 2142/12,4445/445

Given fractions are 2142/12,4445/445

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 2142,4445

Greatest Common Factor of Numerators i.e. GCF of 2142,4445 is 7 .

LCM of Denominators means LCM of 12,445 as per the given fractions.

LCM of 12,445 is 5340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2142,4445

GCF of Fractions 2142/12,4445/445 is 7/5340

7 2142, 4445
306, 635

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2142,4445 By Matching Biggest Common Factor Method

Greatest Common Factor of 2142,4445 By Matching Biggest Common Factor Method

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142

Factors of 4445

List of positive integer factors of 4445 that divides 4445 without a remainder.

1,5,7,35,127,635,889,4445

Greatest Common Factor

We found the factors 2142,4445 . The biggest common factor number is the GCF number.
So the greatest common factor 2142,4445 is 7.

Lets's calculate LCM of 12,445

Given numbers has no common factors except 1. So, there LCM is their product i.e 5340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5340

Therefore, the GCF of Fractions 2142/12,4445/445 is 7/5340

Least Common Multiple of 12,445 with GCF Formula

Least Common Multiple of 12,445 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 12,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,445) = 1

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

GCF(12,445) x common factors =1 x 1 = 1

LCM(12,445) = ( 12 × 445 ) / 1

LCM(12,445) = 5340 / 1

LCM(12,445) = 5340


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 2142/12, 4445/445

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 2142/12, 4445/445?

Answer: GCF of Numerators as per given numbers 2142/12, 4445/445 is

GCF of Numerators i.e. for 2142,4445 is 7

LCM of denominators i.e. for 12,445 is 5340.

Thus, GCF of Fractions is 7/5340.Finally, GCF of Fractions for 2142/12, 4445/445 is 7/5340.