Greatest Common Factor of 18/85, 28/67, 176/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/85, 28/67, 176/784

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 18/85,28/67,176/784

Given fractions are 18/85,28/67,176/784

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 18,28,176

Greatest Common Factor of Numerators i.e. GCF of 18,28,176 is 2 .

LCM of Denominators means LCM of 85,67,784 as per the given fractions.

LCM of 85,67,784 is 4464880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,28,176

GCF of Fractions 18/85,28/67,176/784 is 2/4464880

2 18, 28, 176
9, 14, 88

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

Greatest Common Factor of 18,28,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,28,176 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 18,28,176 . The biggest common factor number is the GCF number.
So the greatest common factor 18,28,176 is 2.

Lets's calculate LCM of 85,67,784

Given numbers has no common factors except 1. So, there LCM is their product i.e 4464880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4464880

Therefore, the GCF of Fractions 18/85,28/67,176/784 is 2/4464880

Least Common Multiple of 85,67,784 with GCF Formula

Least Common Multiple of 85,67,784 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 85,67,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,67,784) = 1

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

GCF(85,67,784) x common factors =1 x 1 = 1

LCM(85,67,784) = ( 85 × 67 × 784 ) / 1

LCM(85,67,784) = 4464880 / 1

LCM(85,67,784) = 4464880


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 18/85, 28/67, 176/784

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 18/85, 28/67, 176/784?

Answer: GCF of Numerators as per given numbers 18/85, 28/67, 176/784 is

GCF of Numerators i.e. for 18,28,176 is 2

LCM of denominators i.e. for 85,67,784 is 4464880.

Thus, GCF of Fractions is 2/4464880.Finally, GCF of Fractions for 18/85, 28/67, 176/784 is 2/4464880.