Greatest Common Factor of 1405/482, 4474/3774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1405/482, 4474/3774

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 1405/482,4474/3774

Given fractions are 1405/482,4474/3774

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 1405,4474

Greatest Common Factor of Numerators i.e. GCF of 1405,4474 is 1 .

LCM of Denominators means LCM of 482,3774 as per the given fractions.

LCM of 482,3774 is 909534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1405,4474

GCF of Fractions 1405/482,4474/3774 is 1/909534

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1405,4474 By Matching Biggest Common Factor Method

Greatest Common Factor of 1405,4474 By Matching Biggest Common Factor Method

Factors of 1405

List of positive integer factors of 1405 that divides 1405 without a remainder.

1,5,281,1405

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1,2,2237,4474

Greatest Common Factor

We found the factors 1405,4474 . The biggest common factor number is the GCF number.
So the greatest common factor 1405,4474 is 1.

Lets's calculate LCM of 482,3774

2 482, 3774
241, 1887

∴ So the LCM of the given numbers is 2 x 241 x 1887 = 909534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/909534

Therefore, the GCF of Fractions 1405/482,4474/3774 is 1/909534

Least Common Multiple of 482,3774 with GCF Formula

Least Common Multiple of 482,3774 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 482,3774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,3774) = 2

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

GCF(482,3774) x common factors =2 x 1 = 2

LCM(482,3774) = ( 482 × 3774 ) / 2

LCM(482,3774) = 1819068 / 2

LCM(482,3774) = 909534


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 1405/482, 4474/3774

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 1405/482, 4474/3774?

Answer: GCF of Numerators as per given numbers 1405/482, 4474/3774 is

GCF of Numerators i.e. for 1405,4474 is 1

LCM of denominators i.e. for 482,3774 is 909534.

Thus, GCF of Fractions is 1/909534.Finally, GCF of Fractions for 1405/482, 4474/3774 is 1/909534.