Greatest Common Factor of 5525/448, 5875/9262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5525/448, 5875/9262

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 5525/448,5875/9262

Given fractions are 5525/448,5875/9262

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 5525,5875

Greatest Common Factor of Numerators i.e. GCF of 5525,5875 is 25 .

LCM of Denominators means LCM of 448,9262 as per the given fractions.

LCM of 448,9262 is 2074688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5525,5875

GCF of Fractions 5525/448,5875/9262 is 25/2074688

5 5525, 5875
5 1105, 1175
221, 235

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

Greatest Common Factor of 5525,5875 By Matching Biggest Common Factor Method

Greatest Common Factor of 5525,5875 By Matching Biggest Common Factor Method

Factors of 5525

List of positive integer factors of 5525 that divides 5525 without a remainder.

1,5,13,17,25,65,85,221,325,425,1105,5525

Factors of 5875

List of positive integer factors of 5875 that divides 5875 without a remainder.

1,5,25,47,125,235,1175,5875

Greatest Common Factor

We found the factors 5525,5875 . The biggest common factor number is the GCF number.
So the greatest common factor 5525,5875 is 25.

Lets's calculate LCM of 448,9262

2 448, 9262
224, 4631

∴ So the LCM of the given numbers is 2 x 224 x 4631 = 2074688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2074688

Therefore, the GCF of Fractions 5525/448,5875/9262 is 25/2074688

Least Common Multiple of 448,9262 with GCF Formula

Least Common Multiple of 448,9262 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 448,9262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,9262) = 2

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

GCF(448,9262) x common factors =2 x 1 = 2

LCM(448,9262) = ( 448 × 9262 ) / 2

LCM(448,9262) = 4149376 / 2

LCM(448,9262) = 2074688


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 5525/448, 5875/9262

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 5525/448, 5875/9262?

Answer: GCF of Numerators as per given numbers 5525/448, 5875/9262 is

GCF of Numerators i.e. for 5525,5875 is 25

LCM of denominators i.e. for 448,9262 is 2074688.

Thus, GCF of Fractions is 25/2074688.Finally, GCF of Fractions for 5525/448, 5875/9262 is 25/2074688.