Greatest Common Factor of 394/240, 1736/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/240, 1736/630

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 394/240,1736/630

Given fractions are 394/240,1736/630

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 394,1736

Greatest Common Factor of Numerators i.e. GCF of 394,1736 is 2 .

LCM of Denominators means LCM of 240,630 as per the given fractions.

LCM of 240,630 is 5040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,1736

GCF of Fractions 394/240,1736/630 is 2/5040

2 394, 1736
197, 868

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

Greatest Common Factor of 394,1736 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,1736 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736

Greatest Common Factor

We found the factors 394,1736 . The biggest common factor number is the GCF number.
So the greatest common factor 394,1736 is 2.

Lets's calculate LCM of 240,630

2 240, 630
3 120, 315
5 40, 105
8, 21

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 21 = 5040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5040

Therefore, the GCF of Fractions 394/240,1736/630 is 2/5040

Least Common Multiple of 240,630 with GCF Formula

Least Common Multiple of 240,630 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 240,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,630) = 30

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

GCF(240,630) x common factors =30 x 1 = 30

LCM(240,630) = ( 240 × 630 ) / 30

LCM(240,630) = 151200 / 30

LCM(240,630) = 5040


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 394/240, 1736/630

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 394/240, 1736/630?

Answer: GCF of Numerators as per given numbers 394/240, 1736/630 is

GCF of Numerators i.e. for 394,1736 is 2

LCM of denominators i.e. for 240,630 is 5040.

Thus, GCF of Fractions is 2/5040.Finally, GCF of Fractions for 394/240, 1736/630 is 2/5040.