Greatest Common Factor of 1354/320, 4694/5463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1354/320, 4694/5463

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 1354/320,4694/5463

Given fractions are 1354/320,4694/5463

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 1354,4694

Greatest Common Factor of Numerators i.e. GCF of 1354,4694 is 2 .

LCM of Denominators means LCM of 320,5463 as per the given fractions.

LCM of 320,5463 is 1748160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1354,4694

GCF of Fractions 1354/320,4694/5463 is 2/1748160

2 1354, 4694
677, 2347

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

Greatest Common Factor of 1354,4694 By Matching Biggest Common Factor Method

Greatest Common Factor of 1354,4694 By Matching Biggest Common Factor Method

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1,2,677,1354

Factors of 4694

List of positive integer factors of 4694 that divides 4694 without a remainder.

1,2,2347,4694

Greatest Common Factor

We found the factors 1354,4694 . The biggest common factor number is the GCF number.
So the greatest common factor 1354,4694 is 2.

Lets's calculate LCM of 320,5463

Given numbers has no common factors except 1. So, there LCM is their product i.e 1748160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1748160

Therefore, the GCF of Fractions 1354/320,4694/5463 is 2/1748160

Least Common Multiple of 320,5463 with GCF Formula

Least Common Multiple of 320,5463 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 320,5463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,5463) = 1

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

GCF(320,5463) x common factors =1 x 1 = 1

LCM(320,5463) = ( 320 × 5463 ) / 1

LCM(320,5463) = 1748160 / 1

LCM(320,5463) = 1748160


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 1354/320, 4694/5463

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 1354/320, 4694/5463?

Answer: GCF of Numerators as per given numbers 1354/320, 4694/5463 is

GCF of Numerators i.e. for 1354,4694 is 2

LCM of denominators i.e. for 320,5463 is 1748160.

Thus, GCF of Fractions is 2/1748160.Finally, GCF of Fractions for 1354/320, 4694/5463 is 2/1748160.