Greatest Common Factor of 422/734, 1585/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 422/734, 1585/132

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 422/734,1585/132

Given fractions are 422/734,1585/132

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 422,1585

Greatest Common Factor of Numerators i.e. GCF of 422,1585 is 1 .

LCM of Denominators means LCM of 734,132 as per the given fractions.

LCM of 734,132 is 48444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 422,1585

GCF of Fractions 422/734,1585/132 is 1/48444

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

Greatest Common Factor of 422,1585 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,1585 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors 422,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 422,1585 is 1.

Lets's calculate LCM of 734,132

2 734, 132
367, 66

∴ So the LCM of the given numbers is 2 x 367 x 66 = 48444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48444

Therefore, the GCF of Fractions 422/734,1585/132 is 1/48444

Least Common Multiple of 734,132 with GCF Formula

Least Common Multiple of 734,132 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 734,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,132) = 2

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

GCF(734,132) x common factors =2 x 1 = 2

LCM(734,132) = ( 734 × 132 ) / 2

LCM(734,132) = 96888 / 2

LCM(734,132) = 48444


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 422/734, 1585/132

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 422/734, 1585/132?

Answer: GCF of Numerators as per given numbers 422/734, 1585/132 is

GCF of Numerators i.e. for 422,1585 is 1

LCM of denominators i.e. for 734,132 is 48444.

Thus, GCF of Fractions is 1/48444.Finally, GCF of Fractions for 422/734, 1585/132 is 1/48444.