Greatest Common Factor of 392/42, 2142/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/42, 2142/751

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 392/42,2142/751

Given fractions are 392/42,2142/751

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 392,2142

Greatest Common Factor of Numerators i.e. GCF of 392,2142 is 14 .

LCM of Denominators means LCM of 42,751 as per the given fractions.

LCM of 42,751 is 31542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,2142

GCF of Fractions 392/42,2142/751 is 14/31542

2 392, 2142
7 196, 1071
28, 153

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 392,2142 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,2142 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

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

Greatest Common Factor

We found the factors 392,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 392,2142 is 14.

Lets's calculate LCM of 42,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 31542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/31542

Therefore, the GCF of Fractions 392/42,2142/751 is 14/31542

Least Common Multiple of 42,751 with GCF Formula

Least Common Multiple of 42,751 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 42,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,751) = 1

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

GCF(42,751) x common factors =1 x 1 = 1

LCM(42,751) = ( 42 × 751 ) / 1

LCM(42,751) = 31542 / 1

LCM(42,751) = 31542


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 392/42, 2142/751

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 392/42, 2142/751?

Answer: GCF of Numerators as per given numbers 392/42, 2142/751 is

GCF of Numerators i.e. for 392,2142 is 14

LCM of denominators i.e. for 42,751 is 31542.

Thus, GCF of Fractions is 14/31542.Finally, GCF of Fractions for 392/42, 2142/751 is 14/31542.