Greatest Common Factor of 70/21, 82/58, 73/64, 40/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/21, 82/58, 73/64, 40/35

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 70/21,82/58,73/64,40/35

Given fractions are 70/21,82/58,73/64,40/35

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 70,82,73,40

Greatest Common Factor of Numerators i.e. GCF of 70,82,73,40 is 1 .

LCM of Denominators means LCM of 21,58,64,35 as per the given fractions.

LCM of 21,58,64,35 is 194880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,82,73,40

GCF of Fractions 70/21,82/58,73/64,40/35 is 1/194880

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

Greatest Common Factor of 70,82,73,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,82,73,40 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 70,82,73,40 . The biggest common factor number is the GCF number.
So the greatest common factor 70,82,73,40 is 1.

Lets's calculate LCM of 21,58,64,35

2 21, 58, 64, 35
7 21, 29, 32, 35
3, 29, 32, 5

∴ So the LCM of the given numbers is 2 x 7 x 3 x 29 x 32 x 5 = 194880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194880

Therefore, the GCF of Fractions 70/21,82/58,73/64,40/35 is 1/194880

Least Common Multiple of 21,58,64,35 with GCF Formula

Least Common Multiple of 21,58,64,35 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 21,58,64,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,58,64,35) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(21,58,64,35) x common factors =1 x 14 = 14

LCM(21,58,64,35) = ( 21 × 58 × 64 × 35 ) / 14

LCM(21,58,64,35) = 2728320 / 14

LCM(21,58,64,35) = 194880


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 70/21, 82/58, 73/64, 40/35

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 70/21, 82/58, 73/64, 40/35?

Answer: GCF of Numerators as per given numbers 70/21, 82/58, 73/64, 40/35 is

GCF of Numerators i.e. for 70,82,73,40 is 1

LCM of denominators i.e. for 21,58,64,35 is 194880.

Thus, GCF of Fractions is 1/194880.Finally, GCF of Fractions for 70/21, 82/58, 73/64, 40/35 is 1/194880.