Greatest Common Factor of 40/35, 285/17, 515/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/35, 285/17, 515/778

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 40/35,285/17,515/778

Given fractions are 40/35,285/17,515/778

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 40,285,515

Greatest Common Factor of Numerators i.e. GCF of 40,285,515 is 5 .

LCM of Denominators means LCM of 35,17,778 as per the given fractions.

LCM of 35,17,778 is 462910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,285,515

GCF of Fractions 40/35,285/17,515/778 is 5/462910

5 40, 285, 515
8, 57, 103

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

Greatest Common Factor of 40,285,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,285,515 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 285

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

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

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 40,285,515 . The biggest common factor number is the GCF number.
So the greatest common factor 40,285,515 is 5.

Lets's calculate LCM of 35,17,778

Given numbers has no common factors except 1. So, there LCM is their product i.e 462910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/462910

Therefore, the GCF of Fractions 40/35,285/17,515/778 is 5/462910

Least Common Multiple of 35,17,778 with GCF Formula

Least Common Multiple of 35,17,778 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 35,17,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,17,778) = 1

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

GCF(35,17,778) x common factors =1 x 1 = 1

LCM(35,17,778) = ( 35 × 17 × 778 ) / 1

LCM(35,17,778) = 462910 / 1

LCM(35,17,778) = 462910


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 40/35, 285/17, 515/778

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 40/35, 285/17, 515/778?

Answer: GCF of Numerators as per given numbers 40/35, 285/17, 515/778 is

GCF of Numerators i.e. for 40,285,515 is 5

LCM of denominators i.e. for 35,17,778 is 462910.

Thus, GCF of Fractions is 5/462910.Finally, GCF of Fractions for 40/35, 285/17, 515/778 is 5/462910.