Greatest Common Factor of 2825/484, 2650/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2825/484, 2650/458

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 2825/484,2650/458

Given fractions are 2825/484,2650/458

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 2825,2650

Greatest Common Factor of Numerators i.e. GCF of 2825,2650 is 25 .

LCM of Denominators means LCM of 484,458 as per the given fractions.

LCM of 484,458 is 110836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2825,2650

GCF of Fractions 2825/484,2650/458 is 25/110836

5 2825, 2650
5 565, 530
113, 106

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 2825,2650 By Matching Biggest Common Factor Method

Greatest Common Factor of 2825,2650 By Matching Biggest Common Factor Method

Factors of 2825

List of positive integer factors of 2825 that divides 2825 without a remainder.

1,5,25,113,565,2825

Factors of 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1,2,5,10,25,50,53,106,265,530,1325,2650

Greatest Common Factor

We found the factors 2825,2650 . The biggest common factor number is the GCF number.
So the greatest common factor 2825,2650 is 25.

Lets's calculate LCM of 484,458

2 484, 458
242, 229

∴ So the LCM of the given numbers is 2 x 242 x 229 = 110836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/110836

Therefore, the GCF of Fractions 2825/484,2650/458 is 25/110836

Least Common Multiple of 484,458 with GCF Formula

Least Common Multiple of 484,458 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 484,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,458) = 2

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

GCF(484,458) x common factors =2 x 1 = 2

LCM(484,458) = ( 484 × 458 ) / 2

LCM(484,458) = 221672 / 2

LCM(484,458) = 110836


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 2825/484, 2650/458

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 2825/484, 2650/458?

Answer: GCF of Numerators as per given numbers 2825/484, 2650/458 is

GCF of Numerators i.e. for 2825,2650 is 25

LCM of denominators i.e. for 484,458 is 110836.

Thus, GCF of Fractions is 25/110836.Finally, GCF of Fractions for 2825/484, 2650/458 is 25/110836.