Greatest Common Factor of 15/10, 78/73, 34/27, 46/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/10, 78/73, 34/27, 46/533

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 15/10,78/73,34/27,46/533

Given fractions are 15/10,78/73,34/27,46/533

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 15,78,34,46

Greatest Common Factor of Numerators i.e. GCF of 15,78,34,46 is 1 .

LCM of Denominators means LCM of 10,73,27,533 as per the given fractions.

LCM of 10,73,27,533 is 10505430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,78,34,46

GCF of Fractions 15/10,78/73,34/27,46/533 is 1/10505430

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

Greatest Common Factor of 15,78,34,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,78,34,46 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 15,78,34,46 . The biggest common factor number is the GCF number.
So the greatest common factor 15,78,34,46 is 1.

Lets's calculate LCM of 10,73,27,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 10505430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10505430

Therefore, the GCF of Fractions 15/10,78/73,34/27,46/533 is 1/10505430

Least Common Multiple of 10,73,27,533 with GCF Formula

Least Common Multiple of 10,73,27,533 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 10,73,27,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,73,27,533) = 1

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

GCF(10,73,27,533) x common factors =1 x 1 = 1

LCM(10,73,27,533) = ( 10 × 73 × 27 × 533 ) / 1

LCM(10,73,27,533) = 10505430 / 1

LCM(10,73,27,533) = 10505430


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 15/10, 78/73, 34/27, 46/533

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 15/10, 78/73, 34/27, 46/533?

Answer: GCF of Numerators as per given numbers 15/10, 78/73, 34/27, 46/533 is

GCF of Numerators i.e. for 15,78,34,46 is 1

LCM of denominators i.e. for 10,73,27,533 is 10505430.

Thus, GCF of Fractions is 1/10505430.Finally, GCF of Fractions for 15/10, 78/73, 34/27, 46/533 is 1/10505430.