Greatest Common Factor of 4425/825, 8126/5284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4425/825, 8126/5284

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 4425/825,8126/5284

Given fractions are 4425/825,8126/5284

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 4425,8126

Greatest Common Factor of Numerators i.e. GCF of 4425,8126 is 1 .

LCM of Denominators means LCM of 825,5284 as per the given fractions.

LCM of 825,5284 is 4359300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4425,8126

GCF of Fractions 4425/825,8126/5284 is 1/4359300

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

Greatest Common Factor of 4425,8126 By Matching Biggest Common Factor Method

Greatest Common Factor of 4425,8126 By Matching Biggest Common Factor Method

Factors of 4425

List of positive integer factors of 4425 that divides 4425 without a remainder.

1,3,5,15,25,59,75,177,295,885,1475,4425

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

Greatest Common Factor

We found the factors 4425,8126 . The biggest common factor number is the GCF number.
So the greatest common factor 4425,8126 is 1.

Lets's calculate LCM of 825,5284

Given numbers has no common factors except 1. So, there LCM is their product i.e 4359300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4359300

Therefore, the GCF of Fractions 4425/825,8126/5284 is 1/4359300

Least Common Multiple of 825,5284 with GCF Formula

Least Common Multiple of 825,5284 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 825,5284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,5284) = 1

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

GCF(825,5284) x common factors =1 x 1 = 1

LCM(825,5284) = ( 825 × 5284 ) / 1

LCM(825,5284) = 4359300 / 1

LCM(825,5284) = 4359300


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 4425/825, 8126/5284

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 4425/825, 8126/5284?

Answer: GCF of Numerators as per given numbers 4425/825, 8126/5284 is

GCF of Numerators i.e. for 4425,8126 is 1

LCM of denominators i.e. for 825,5284 is 4359300.

Thus, GCF of Fractions is 1/4359300.Finally, GCF of Fractions for 4425/825, 8126/5284 is 1/4359300.