Greatest Common Factor of 284/385, 3078/3168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/385, 3078/3168

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 284/385,3078/3168

Given fractions are 284/385,3078/3168

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 284,3078

Greatest Common Factor of Numerators i.e. GCF of 284,3078 is 2 .

LCM of Denominators means LCM of 385,3168 as per the given fractions.

LCM of 385,3168 is 110880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,3078

GCF of Fractions 284/385,3078/3168 is 2/110880

2 284, 3078
142, 1539

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

Greatest Common Factor of 284,3078 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,3078 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 3078

List of positive integer factors of 3078 that divides 3078 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078

Greatest Common Factor

We found the factors 284,3078 . The biggest common factor number is the GCF number.
So the greatest common factor 284,3078 is 2.

Lets's calculate LCM of 385,3168

11 385, 3168
35, 288

∴ So the LCM of the given numbers is 11 x 35 x 288 = 110880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110880

Therefore, the GCF of Fractions 284/385,3078/3168 is 2/110880

Least Common Multiple of 385,3168 with GCF Formula

Least Common Multiple of 385,3168 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 385,3168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,3168) = 11

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

GCF(385,3168) x common factors =11 x 1 = 11

LCM(385,3168) = ( 385 × 3168 ) / 11

LCM(385,3168) = 1219680 / 11

LCM(385,3168) = 110880


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 284/385, 3078/3168

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 284/385, 3078/3168?

Answer: GCF of Numerators as per given numbers 284/385, 3078/3168 is

GCF of Numerators i.e. for 284,3078 is 2

LCM of denominators i.e. for 385,3168 is 110880.

Thus, GCF of Fractions is 2/110880.Finally, GCF of Fractions for 284/385, 3078/3168 is 2/110880.