Greatest Common Factor of 2585/485, 9262/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2585/485, 9262/759

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 2585/485,9262/759

Given fractions are 2585/485,9262/759

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 2585,9262

Greatest Common Factor of Numerators i.e. GCF of 2585,9262 is 11 .

LCM of Denominators means LCM of 485,759 as per the given fractions.

LCM of 485,759 is 368115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2585,9262

GCF of Fractions 2585/485,9262/759 is 11/368115

11 2585, 9262
235, 842

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2585,9262 By Matching Biggest Common Factor Method

Greatest Common Factor of 2585,9262 By Matching Biggest Common Factor Method

Factors of 2585

List of positive integer factors of 2585 that divides 2585 without a remainder.

1,5,11,47,55,235,517,2585

Factors of 9262

List of positive integer factors of 9262 that divides 9262 without a remainder.

1,2,11,22,421,842,4631,9262

Greatest Common Factor

We found the factors 2585,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,9262 is 11.

Lets's calculate LCM of 485,759

Given numbers has no common factors except 1. So, there LCM is their product i.e 368115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/368115

Therefore, the GCF of Fractions 2585/485,9262/759 is 11/368115

Least Common Multiple of 485,759 with GCF Formula

Least Common Multiple of 485,759 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 485,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,759) = 1

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

GCF(485,759) x common factors =1 x 1 = 1

LCM(485,759) = ( 485 × 759 ) / 1

LCM(485,759) = 368115 / 1

LCM(485,759) = 368115


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 2585/485, 9262/759

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 2585/485, 9262/759?

Answer: GCF of Numerators as per given numbers 2585/485, 9262/759 is

GCF of Numerators i.e. for 2585,9262 is 11

LCM of denominators i.e. for 485,759 is 368115.

Thus, GCF of Fractions is 11/368115.Finally, GCF of Fractions for 2585/485, 9262/759 is 11/368115.