Greatest Common Factor of 285/70, 730/3456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/70, 730/3456

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 285/70,730/3456

Given fractions are 285/70,730/3456

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 285,730

Greatest Common Factor of Numerators i.e. GCF of 285,730 is 5 .

LCM of Denominators means LCM of 70,3456 as per the given fractions.

LCM of 70,3456 is 120960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,730

GCF of Fractions 285/70,730/3456 is 5/120960

5 285, 730
57, 146

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 285,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,730 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 285,730 . The biggest common factor number is the GCF number.
So the greatest common factor 285,730 is 5.

Lets's calculate LCM of 70,3456

2 70, 3456
35, 1728

∴ So the LCM of the given numbers is 2 x 35 x 1728 = 120960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/120960

Therefore, the GCF of Fractions 285/70,730/3456 is 5/120960

Least Common Multiple of 70,3456 with GCF Formula

Least Common Multiple of 70,3456 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 70,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,3456) = 2

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

GCF(70,3456) x common factors =2 x 1 = 2

LCM(70,3456) = ( 70 × 3456 ) / 2

LCM(70,3456) = 241920 / 2

LCM(70,3456) = 120960


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 285/70, 730/3456

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 285/70, 730/3456?

Answer: GCF of Numerators as per given numbers 285/70, 730/3456 is

GCF of Numerators i.e. for 285,730 is 5

LCM of denominators i.e. for 70,3456 is 120960.

Thus, GCF of Fractions is 5/120960.Finally, GCF of Fractions for 285/70, 730/3456 is 5/120960.