Greatest Common Factor of 1285/908, 9058/2892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1285/908, 9058/2892

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 1285/908,9058/2892

Given fractions are 1285/908,9058/2892

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 1285,9058

Greatest Common Factor of Numerators i.e. GCF of 1285,9058 is 1 .

LCM of Denominators means LCM of 908,2892 as per the given fractions.

LCM of 908,2892 is 656484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1285,9058

GCF of Fractions 1285/908,9058/2892 is 1/656484

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

Greatest Common Factor of 1285,9058 By Matching Biggest Common Factor Method

Greatest Common Factor of 1285,9058 By Matching Biggest Common Factor Method

Factors of 1285

List of positive integer factors of 1285 that divides 1285 without a remainder.

1,5,257,1285

Factors of 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1,2,7,14,647,1294,4529,9058

Greatest Common Factor

We found the factors 1285,9058 . The biggest common factor number is the GCF number.
So the greatest common factor 1285,9058 is 1.

Lets's calculate LCM of 908,2892

2 908, 2892
2 454, 1446
227, 723

∴ So the LCM of the given numbers is 2 x 2 x 227 x 723 = 656484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656484

Therefore, the GCF of Fractions 1285/908,9058/2892 is 1/656484

Least Common Multiple of 908,2892 with GCF Formula

Least Common Multiple of 908,2892 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 908,2892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,2892) = 4

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

GCF(908,2892) x common factors =4 x 1 = 4

LCM(908,2892) = ( 908 × 2892 ) / 4

LCM(908,2892) = 2625936 / 4

LCM(908,2892) = 656484


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 1285/908, 9058/2892

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 1285/908, 9058/2892?

Answer: GCF of Numerators as per given numbers 1285/908, 9058/2892 is

GCF of Numerators i.e. for 1285,9058 is 1

LCM of denominators i.e. for 908,2892 is 656484.

Thus, GCF of Fractions is 1/656484.Finally, GCF of Fractions for 1285/908, 9058/2892 is 1/656484.