Greatest Common Factor of 1394/920, 5464/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1394/920, 5464/497

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 1394/920,5464/497

Given fractions are 1394/920,5464/497

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 1394,5464

Greatest Common Factor of Numerators i.e. GCF of 1394,5464 is 2 .

LCM of Denominators means LCM of 920,497 as per the given fractions.

LCM of 920,497 is 457240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1394,5464

GCF of Fractions 1394/920,5464/497 is 2/457240

2 1394, 5464
697, 2732

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1394,5464 By Matching Biggest Common Factor Method

Greatest Common Factor of 1394,5464 By Matching Biggest Common Factor Method

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1,2,17,34,41,82,697,1394

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1,2,4,8,683,1366,2732,5464

Greatest Common Factor

We found the factors 1394,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 1394,5464 is 2.


Lets's calculate LCM of 920,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 457240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/457240

Therefore, the GCF of Fractions 1394/920,5464/497 is 2/457240

Least Common Multiple of 920,497 with GCF Formula

Least Common Multiple of 920,497 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 920,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,497) = 1

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

GCF(920,497) x common factors =1 x 1 = 1

LCM(920,497) = ( 920 × 497 ) / 1

LCM(920,497) = 457240 / 1

LCM(920,497) = 457240


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1394/920, 5464/497

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 1394/920, 5464/497?

Answer: GCF of Numerators as per given numbers 1394/920, 5464/497 is

GCF of Numerators i.e. for 1394,5464 is 2

LCM of denominators i.e. for 920,497 is 457240.

Thus, GCF of Fractions is 2/457240.Finally, GCF of Fractions for 1394/920, 5464/497 is 2/457240.