Greatest Common Factor of 364/504, 378/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/504, 378/383

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 364/504,378/383

Given fractions are 364/504,378/383

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 364,378

Greatest Common Factor of Numerators i.e. GCF of 364,378 is 14 .

LCM of Denominators means LCM of 504,383 as per the given fractions.

LCM of 504,383 is 193032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,378

GCF of Fractions 364/504,378/383 is 14/193032

2 364, 378
7 182, 189
26, 27

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

Greatest Common Factor of 364,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,378 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 364,378 . The biggest common factor number is the GCF number.
So the greatest common factor 364,378 is 14.

Lets's calculate LCM of 504,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 193032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/193032

Therefore, the GCF of Fractions 364/504,378/383 is 14/193032

Least Common Multiple of 504,383 with GCF Formula

Least Common Multiple of 504,383 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 504,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,383) = 1

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

GCF(504,383) x common factors =1 x 1 = 1

LCM(504,383) = ( 504 × 383 ) / 1

LCM(504,383) = 193032 / 1

LCM(504,383) = 193032


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 364/504, 378/383

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 364/504, 378/383?

Answer: GCF of Numerators as per given numbers 364/504, 378/383 is

GCF of Numerators i.e. for 364,378 is 14

LCM of denominators i.e. for 504,383 is 193032.

Thus, GCF of Fractions is 14/193032.Finally, GCF of Fractions for 364/504, 378/383 is 14/193032.