Greatest Common Factor of 550/48, 5260/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 550/48, 5260/606

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 550/48,5260/606

Given fractions are 550/48,5260/606

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 550,5260

Greatest Common Factor of Numerators i.e. GCF of 550,5260 is 10 .

LCM of Denominators means LCM of 48,606 as per the given fractions.

LCM of 48,606 is 4848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 550,5260

GCF of Fractions 550/48,5260/606 is 10/4848

2 550, 5260
5 275, 2630
55, 526

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 550,5260 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,5260 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 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1,2,4,5,10,20,263,526,1052,1315,2630,5260

Greatest Common Factor

We found the factors 550,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 550,5260 is 10.

Lets's calculate LCM of 48,606

2 48, 606
3 24, 303
8, 101

∴ So the LCM of the given numbers is 2 x 3 x 8 x 101 = 4848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4848

Therefore, the GCF of Fractions 550/48,5260/606 is 10/4848

Least Common Multiple of 48,606 with GCF Formula

Least Common Multiple of 48,606 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 48,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,606) = 6

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

GCF(48,606) x common factors =6 x 1 = 6

LCM(48,606) = ( 48 × 606 ) / 6

LCM(48,606) = 29088 / 6

LCM(48,606) = 4848


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 550/48, 5260/606

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 550/48, 5260/606?

Answer: GCF of Numerators as per given numbers 550/48, 5260/606 is

GCF of Numerators i.e. for 550,5260 is 10

LCM of denominators i.e. for 48,606 is 4848.

Thus, GCF of Fractions is 10/4848.Finally, GCF of Fractions for 550/48, 5260/606 is 10/4848.