Greatest Common Factor of 70/33, 76/81, 675/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/33, 76/81, 675/345

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 70/33,76/81,675/345

Given fractions are 70/33,76/81,675/345

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 70,76,675

Greatest Common Factor of Numerators i.e. GCF of 70,76,675 is 1 .

LCM of Denominators means LCM of 33,81,345 as per the given fractions.

LCM of 33,81,345 is 102465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,76,675

GCF of Fractions 70/33,76/81,675/345 is 1/102465

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 70,76,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,76,675 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 70,76,675 . The biggest common factor number is the GCF number.
So the greatest common factor 70,76,675 is 1.

Lets's calculate LCM of 33,81,345

3 33, 81, 345
11, 27, 115

∴ So the LCM of the given numbers is 3 x 11 x 27 x 115 = 102465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102465

Therefore, the GCF of Fractions 70/33,76/81,675/345 is 1/102465

Least Common Multiple of 33,81,345 with GCF Formula

Least Common Multiple of 33,81,345 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 33,81,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,81,345) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,81,345) x common factors =3 x 3 = 9

LCM(33,81,345) = ( 33 × 81 × 345 ) / 9

LCM(33,81,345) = 922185 / 9

LCM(33,81,345) = 102465


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 70/33, 76/81, 675/345

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 70/33, 76/81, 675/345?

Answer: GCF of Numerators as per given numbers 70/33, 76/81, 675/345 is

GCF of Numerators i.e. for 70,76,675 is 1

LCM of denominators i.e. for 33,81,345 is 102465.

Thus, GCF of Fractions is 1/102465.Finally, GCF of Fractions for 70/33, 76/81, 675/345 is 1/102465.