Greatest Common Factor of 2585/241, 1630/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2585/241, 1630/466

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 2585/241,1630/466

Given fractions are 2585/241,1630/466

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 2585,1630

Greatest Common Factor of Numerators i.e. GCF of 2585,1630 is 5 .

LCM of Denominators means LCM of 241,466 as per the given fractions.

LCM of 241,466 is 112306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2585,1630

GCF of Fractions 2585/241,1630/466 is 5/112306

5 2585, 1630
517, 326

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2585,1630 By Matching Biggest Common Factor Method

Greatest Common Factor of 2585,1630 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 1630

List of positive integer factors of 1630 that divides 1630 without a remainder.

1,2,5,10,163,326,815,1630

Greatest Common Factor

We found the factors 2585,1630 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,1630 is 5.

Lets's calculate LCM of 241,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 112306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/112306

Therefore, the GCF of Fractions 2585/241,1630/466 is 5/112306

Least Common Multiple of 241,466 with GCF Formula

Least Common Multiple of 241,466 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 241,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,466) = 1

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

GCF(241,466) x common factors =1 x 1 = 1

LCM(241,466) = ( 241 × 466 ) / 1

LCM(241,466) = 112306 / 1

LCM(241,466) = 112306


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 2585/241, 1630/466

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 2585/241, 1630/466?

Answer: GCF of Numerators as per given numbers 2585/241, 1630/466 is

GCF of Numerators i.e. for 2585,1630 is 5

LCM of denominators i.e. for 241,466 is 112306.

Thus, GCF of Fractions is 5/112306.Finally, GCF of Fractions for 2585/241, 1630/466 is 5/112306.