Greatest Common Factor of 5522/553, 8684/6514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5522/553, 8684/6514

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 5522/553,8684/6514

Given fractions are 5522/553,8684/6514

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 5522,8684

Greatest Common Factor of Numerators i.e. GCF of 5522,8684 is 2 .

LCM of Denominators means LCM of 553,6514 as per the given fractions.

LCM of 553,6514 is 3602242 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5522,8684

GCF of Fractions 5522/553,8684/6514 is 2/3602242

2 5522, 8684
2761, 4342

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5522,8684 By Matching Biggest Common Factor Method

Greatest Common Factor of 5522,8684 By Matching Biggest Common Factor Method

Factors of 5522

List of positive integer factors of 5522 that divides 5522 without a remainder.

1,2,11,22,251,502,2761,5522

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Greatest Common Factor

We found the factors 5522,8684 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,8684 is 2.

Lets's calculate LCM of 553,6514

Given numbers has no common factors except 1. So, there LCM is their product i.e 3602242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3602242

Therefore, the GCF of Fractions 5522/553,8684/6514 is 2/3602242

Least Common Multiple of 553,6514 with GCF Formula

Least Common Multiple of 553,6514 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 553,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,6514) = 1

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

GCF(553,6514) x common factors =1 x 1 = 1

LCM(553,6514) = ( 553 × 6514 ) / 1

LCM(553,6514) = 3602242 / 1

LCM(553,6514) = 3602242


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 5522/553, 8684/6514

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 5522/553, 8684/6514?

Answer: GCF of Numerators as per given numbers 5522/553, 8684/6514 is

GCF of Numerators i.e. for 5522,8684 is 2

LCM of denominators i.e. for 553,6514 is 3602242.

Thus, GCF of Fractions is 2/3602242.Finally, GCF of Fractions for 5522/553, 8684/6514 is 2/3602242.