Greatest Common Factor of 726/392, 1837/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/392, 1837/965

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 726/392,1837/965

Given fractions are 726/392,1837/965

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 726,1837

Greatest Common Factor of Numerators i.e. GCF of 726,1837 is 11 .

LCM of Denominators means LCM of 392,965 as per the given fractions.

LCM of 392,965 is 378280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,1837

GCF of Fractions 726/392,1837/965 is 11/378280

11 726, 1837
66, 167

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 726,1837 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,1837 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 1837

List of positive integer factors of 1837 that divides 1837 without a remainder.

1,11,167,1837

Greatest Common Factor

We found the factors 726,1837 . The biggest common factor number is the GCF number.
So the greatest common factor 726,1837 is 11.

Lets's calculate LCM of 392,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 378280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/378280

Therefore, the GCF of Fractions 726/392,1837/965 is 11/378280

Least Common Multiple of 392,965 with GCF Formula

Least Common Multiple of 392,965 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 392,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,965) = 1

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

GCF(392,965) x common factors =1 x 1 = 1

LCM(392,965) = ( 392 × 965 ) / 1

LCM(392,965) = 378280 / 1

LCM(392,965) = 378280


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 726/392, 1837/965

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 726/392, 1837/965?

Answer: GCF of Numerators as per given numbers 726/392, 1837/965 is

GCF of Numerators i.e. for 726,1837 is 11

LCM of denominators i.e. for 392,965 is 378280.

Thus, GCF of Fractions is 11/378280.Finally, GCF of Fractions for 726/392, 1837/965 is 11/378280.