Greatest Common Factor of 823/35, 301/38, 313/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 823/35, 301/38, 313/78

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 823/35,301/38,313/78

Given fractions are 823/35,301/38,313/78

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 823,301,313

Greatest Common Factor of Numerators i.e. GCF of 823,301,313 is 1 .

LCM of Denominators means LCM of 35,38,78 as per the given fractions.

LCM of 35,38,78 is 51870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 823,301,313

GCF of Fractions 823/35,301/38,313/78 is 1/51870

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

Greatest Common Factor of 823,301,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,301,313 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 823,301,313 . The biggest common factor number is the GCF number.
So the greatest common factor 823,301,313 is 1.

Lets's calculate LCM of 35,38,78

2 35, 38, 78
35, 19, 39

∴ So the LCM of the given numbers is 2 x 35 x 19 x 39 = 51870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51870

Therefore, the GCF of Fractions 823/35,301/38,313/78 is 1/51870

Least Common Multiple of 35,38,78 with GCF Formula

Least Common Multiple of 35,38,78 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 35,38,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,38,78) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(35,38,78) x common factors =1 x 2 = 2

LCM(35,38,78) = ( 35 × 38 × 78 ) / 2

LCM(35,38,78) = 103740 / 2

LCM(35,38,78) = 51870


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 823/35, 301/38, 313/78

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 823/35, 301/38, 313/78?

Answer: GCF of Numerators as per given numbers 823/35, 301/38, 313/78 is

GCF of Numerators i.e. for 823,301,313 is 1

LCM of denominators i.e. for 35,38,78 is 51870.

Thus, GCF of Fractions is 1/51870.Finally, GCF of Fractions for 823/35, 301/38, 313/78 is 1/51870.