Greatest Common Factor of 1340/491, 2385/1894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1340/491, 2385/1894

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 1340/491,2385/1894

Given fractions are 1340/491,2385/1894

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 1340,2385

Greatest Common Factor of Numerators i.e. GCF of 1340,2385 is 5 .

LCM of Denominators means LCM of 491,1894 as per the given fractions.

LCM of 491,1894 is 929954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1340,2385

GCF of Fractions 1340/491,2385/1894 is 5/929954

5 1340, 2385
268, 477

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1340,2385 By Matching Biggest Common Factor Method

Greatest Common Factor of 1340,2385 By Matching Biggest Common Factor Method

Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1,2,4,5,10,20,67,134,268,335,670,1340

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1,3,5,9,15,45,53,159,265,477,795,2385

Greatest Common Factor

We found the factors 1340,2385 . The biggest common factor number is the GCF number.
So the greatest common factor 1340,2385 is 5.

Lets's calculate LCM of 491,1894

Given numbers has no common factors except 1. So, there LCM is their product i.e 929954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/929954

Therefore, the GCF of Fractions 1340/491,2385/1894 is 5/929954

Least Common Multiple of 491,1894 with GCF Formula

Least Common Multiple of 491,1894 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 491,1894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,1894) = 1

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

GCF(491,1894) x common factors =1 x 1 = 1

LCM(491,1894) = ( 491 × 1894 ) / 1

LCM(491,1894) = 929954 / 1

LCM(491,1894) = 929954


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 1340/491, 2385/1894

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 1340/491, 2385/1894?

Answer: GCF of Numerators as per given numbers 1340/491, 2385/1894 is

GCF of Numerators i.e. for 1340,2385 is 5

LCM of denominators i.e. for 491,1894 is 929954.

Thus, GCF of Fractions is 5/929954.Finally, GCF of Fractions for 1340/491, 2385/1894 is 5/929954.