Greatest Common Factor of 70/564, 470/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/564, 470/285

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 70/564,470/285

Given fractions are 70/564,470/285

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 70,470

Greatest Common Factor of Numerators i.e. GCF of 70,470 is 10 .

LCM of Denominators means LCM of 564,285 as per the given fractions.

LCM of 564,285 is 53580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,470

GCF of Fractions 70/564,470/285 is 10/53580

2 70, 470
5 35, 235
7, 47

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 70,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,470 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 70,470 . The biggest common factor number is the GCF number.
So the greatest common factor 70,470 is 10.

Lets's calculate LCM of 564,285

3 564, 285
188, 95

∴ So the LCM of the given numbers is 3 x 188 x 95 = 53580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/53580

Therefore, the GCF of Fractions 70/564,470/285 is 10/53580

Least Common Multiple of 564,285 with GCF Formula

Least Common Multiple of 564,285 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 564,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,285) = 3

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

GCF(564,285) x common factors =3 x 1 = 3

LCM(564,285) = ( 564 × 285 ) / 3

LCM(564,285) = 160740 / 3

LCM(564,285) = 53580


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 70/564, 470/285

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 70/564, 470/285?

Answer: GCF of Numerators as per given numbers 70/564, 470/285 is

GCF of Numerators i.e. for 70,470 is 10

LCM of denominators i.e. for 564,285 is 53580.

Thus, GCF of Fractions is 10/53580.Finally, GCF of Fractions for 70/564, 470/285 is 10/53580.