Greatest Common Factor of 550/652, 484/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 550/652, 484/526

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 550/652,484/526

Given fractions are 550/652,484/526

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 550,484

Greatest Common Factor of Numerators i.e. GCF of 550,484 is 22 .

LCM of Denominators means LCM of 652,526 as per the given fractions.

LCM of 652,526 is 171476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 550,484

GCF of Fractions 550/652,484/526 is 22/171476

2 550, 484
11 275, 242
25, 22

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 550,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,484 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 550,484 . The biggest common factor number is the GCF number.
So the greatest common factor 550,484 is 22.

Lets's calculate LCM of 652,526

2 652, 526
326, 263

∴ So the LCM of the given numbers is 2 x 326 x 263 = 171476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/171476

Therefore, the GCF of Fractions 550/652,484/526 is 22/171476

Least Common Multiple of 652,526 with GCF Formula

Least Common Multiple of 652,526 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 652,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,526) = 2

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

GCF(652,526) x common factors =2 x 1 = 2

LCM(652,526) = ( 652 × 526 ) / 2

LCM(652,526) = 342952 / 2

LCM(652,526) = 171476


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 550/652, 484/526

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 550/652, 484/526?

Answer: GCF of Numerators as per given numbers 550/652, 484/526 is

GCF of Numerators i.e. for 550,484 is 22

LCM of denominators i.e. for 652,526 is 171476.

Thus, GCF of Fractions is 22/171476.Finally, GCF of Fractions for 550/652, 484/526 is 22/171476.