Greatest Common Factor of 315/21, 884/42, 378/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 315/21, 884/42, 378/64

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 315/21,884/42,378/64

Given fractions are 315/21,884/42,378/64

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 315,884,378

Greatest Common Factor of Numerators i.e. GCF of 315,884,378 is 1 .

LCM of Denominators means LCM of 21,42,64 as per the given fractions.

LCM of 21,42,64 is 1344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 315,884,378

GCF of Fractions 315/21,884/42,378/64 is 1/1344

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 315,884,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,884,378 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

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 315,884,378 . The biggest common factor number is the GCF number.
So the greatest common factor 315,884,378 is 1.

Lets's calculate LCM of 21,42,64

2 21, 42, 64
3 21, 21, 32
7 7, 7, 32
1, 1, 32

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 1 x 32 = 1344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1344

Therefore, the GCF of Fractions 315/21,884/42,378/64 is 1/1344

Least Common Multiple of 21,42,64 with GCF Formula

Least Common Multiple of 21,42,64 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 21,42,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,42,64) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(21,42,64) x common factors =1 x 42 = 42

LCM(21,42,64) = ( 21 × 42 × 64 ) / 42

LCM(21,42,64) = 56448 / 42

LCM(21,42,64) = 1344


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 315/21, 884/42, 378/64

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 315/21, 884/42, 378/64?

Answer: GCF of Numerators as per given numbers 315/21, 884/42, 378/64 is

GCF of Numerators i.e. for 315,884,378 is 1

LCM of denominators i.e. for 21,42,64 is 1344.

Thus, GCF of Fractions is 1/1344.Finally, GCF of Fractions for 315/21, 884/42, 378/64 is 1/1344.