Greatest Common Factor of 316/21, 784/4167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 316/21, 784/4167

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 316/21,784/4167

Given fractions are 316/21,784/4167

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 316,784

Greatest Common Factor of Numerators i.e. GCF of 316,784 is 4 .

LCM of Denominators means LCM of 21,4167 as per the given fractions.

LCM of 21,4167 is 29169 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 316,784

GCF of Fractions 316/21,784/4167 is 4/29169

2 316, 784
2 158, 392
79, 196

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 316,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,784 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 316,784 . The biggest common factor number is the GCF number.
So the greatest common factor 316,784 is 4.

Lets's calculate LCM of 21,4167

3 21, 4167
7, 1389

∴ So the LCM of the given numbers is 3 x 7 x 1389 = 29169

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29169

Therefore, the GCF of Fractions 316/21,784/4167 is 4/29169

Least Common Multiple of 21,4167 with GCF Formula

Least Common Multiple of 21,4167 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 21,4167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,4167) = 3

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

GCF(21,4167) x common factors =3 x 1 = 3

LCM(21,4167) = ( 21 × 4167 ) / 3

LCM(21,4167) = 87507 / 3

LCM(21,4167) = 29169


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 316/21, 784/4167

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 316/21, 784/4167?

Answer: GCF of Numerators as per given numbers 316/21, 784/4167 is

GCF of Numerators i.e. for 316,784 is 4

LCM of denominators i.e. for 21,4167 is 29169.

Thus, GCF of Fractions is 4/29169.Finally, GCF of Fractions for 316/21, 784/4167 is 4/29169.