Greatest Common Factor of 837/14, 768/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 837/14, 768/305

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 837/14,768/305

Given fractions are 837/14,768/305

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 837,768

Greatest Common Factor of Numerators i.e. GCF of 837,768 is 3 .

LCM of Denominators means LCM of 14,305 as per the given fractions.

LCM of 14,305 is 4270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 837,768

GCF of Fractions 837/14,768/305 is 3/4270

3 837, 768
279, 256

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 837,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,768 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 837,768 . The biggest common factor number is the GCF number.
So the greatest common factor 837,768 is 3.

Lets's calculate LCM of 14,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 4270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4270

Therefore, the GCF of Fractions 837/14,768/305 is 3/4270

Least Common Multiple of 14,305 with GCF Formula

Least Common Multiple of 14,305 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 14,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,305) = 1

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

GCF(14,305) x common factors =1 x 1 = 1

LCM(14,305) = ( 14 × 305 ) / 1

LCM(14,305) = 4270 / 1

LCM(14,305) = 4270


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 837/14, 768/305

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 837/14, 768/305?

Answer: GCF of Numerators as per given numbers 837/14, 768/305 is

GCF of Numerators i.e. for 837,768 is 3

LCM of denominators i.e. for 14,305 is 4270.

Thus, GCF of Fractions is 3/4270.Finally, GCF of Fractions for 837/14, 768/305 is 3/4270.