Greatest Common Factor of 40/29, 70/85, 60/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/29, 70/85, 60/785

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 40/29,70/85,60/785

Given fractions are 40/29,70/85,60/785

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 40,70,60

Greatest Common Factor of Numerators i.e. GCF of 40,70,60 is 10 .

LCM of Denominators means LCM of 29,85,785 as per the given fractions.

LCM of 29,85,785 is 387005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,70,60

GCF of Fractions 40/29,70/85,60/785 is 10/387005

2 40, 70, 60
5 20, 35, 30
4, 7, 6

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

Greatest Common Factor of 40,70,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,70,60 By Matching Biggest Common Factor Method

Factors of 40

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

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

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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 40,70,60 . The biggest common factor number is the GCF number.
So the greatest common factor 40,70,60 is 10.

Lets's calculate LCM of 29,85,785

5 29, 85, 785
29, 17, 157

∴ So the LCM of the given numbers is 5 x 29 x 17 x 157 = 387005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/387005

Therefore, the GCF of Fractions 40/29,70/85,60/785 is 10/387005

Least Common Multiple of 29,85,785 with GCF Formula

Least Common Multiple of 29,85,785 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 29,85,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,85,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(29,85,785) x common factors =1 x 5 = 5

LCM(29,85,785) = ( 29 × 85 × 785 ) / 5

LCM(29,85,785) = 1935025 / 5

LCM(29,85,785) = 387005


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 40/29, 70/85, 60/785

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 40/29, 70/85, 60/785?

Answer: GCF of Numerators as per given numbers 40/29, 70/85, 60/785 is

GCF of Numerators i.e. for 40,70,60 is 10

LCM of denominators i.e. for 29,85,785 is 387005.

Thus, GCF of Fractions is 10/387005.Finally, GCF of Fractions for 40/29, 70/85, 60/785 is 10/387005.