Greatest Common Factor of 262/353, 1589/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 262/353, 1589/334

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 262/353,1589/334

Given fractions are 262/353,1589/334

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 262,1589

Greatest Common Factor of Numerators i.e. GCF of 262,1589 is 1 .

LCM of Denominators means LCM of 353,334 as per the given fractions.

LCM of 353,334 is 117902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 262,1589

GCF of Fractions 262/353,1589/334 is 1/117902

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

Greatest Common Factor of 262,1589 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,1589 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 1589

List of positive integer factors of 1589 that divides 1589 without a remainder.

1,7,227,1589

Greatest Common Factor

We found the factors 262,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 262,1589 is 1.

Lets's calculate LCM of 353,334

Given numbers has no common factors except 1. So, there LCM is their product i.e 117902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117902

Therefore, the GCF of Fractions 262/353,1589/334 is 1/117902

Least Common Multiple of 353,334 with GCF Formula

Least Common Multiple of 353,334 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 353,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,334) = 1

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

GCF(353,334) x common factors =1 x 1 = 1

LCM(353,334) = ( 353 × 334 ) / 1

LCM(353,334) = 117902 / 1

LCM(353,334) = 117902


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 262/353, 1589/334

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 262/353, 1589/334?

Answer: GCF of Numerators as per given numbers 262/353, 1589/334 is

GCF of Numerators i.e. for 262,1589 is 1

LCM of denominators i.e. for 353,334 is 117902.

Thus, GCF of Fractions is 1/117902.Finally, GCF of Fractions for 262/353, 1589/334 is 1/117902.