Greatest Common Factor of 825/480, 575/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 825/480, 575/926

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 825/480,575/926

Given fractions are 825/480,575/926

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 825,575

Greatest Common Factor of Numerators i.e. GCF of 825,575 is 25 .

LCM of Denominators means LCM of 480,926 as per the given fractions.

LCM of 480,926 is 222240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 825,575

GCF of Fractions 825/480,575/926 is 25/222240

5 825, 575
5 165, 115
33, 23

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

Greatest Common Factor of 825,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,575 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 825,575 . The biggest common factor number is the GCF number.
So the greatest common factor 825,575 is 25.

Lets's calculate LCM of 480,926

2 480, 926
240, 463

∴ So the LCM of the given numbers is 2 x 240 x 463 = 222240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/222240

Therefore, the GCF of Fractions 825/480,575/926 is 25/222240

Least Common Multiple of 480,926 with GCF Formula

Least Common Multiple of 480,926 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 480,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,926) = 2

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

GCF(480,926) x common factors =2 x 1 = 2

LCM(480,926) = ( 480 × 926 ) / 2

LCM(480,926) = 444480 / 2

LCM(480,926) = 222240


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 825/480, 575/926

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 825/480, 575/926?

Answer: GCF of Numerators as per given numbers 825/480, 575/926 is

GCF of Numerators i.e. for 825,575 is 25

LCM of denominators i.e. for 480,926 is 222240.

Thus, GCF of Fractions is 25/222240.Finally, GCF of Fractions for 825/480, 575/926 is 25/222240.