Greatest Common Factor of 4983/53, 6710/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4983/53, 6710/312

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 4983/53,6710/312

Given fractions are 4983/53,6710/312

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 4983,6710

Greatest Common Factor of Numerators i.e. GCF of 4983,6710 is 11 .

LCM of Denominators means LCM of 53,312 as per the given fractions.

LCM of 53,312 is 16536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4983,6710

GCF of Fractions 4983/53,6710/312 is 11/16536

11 4983, 6710
453, 610

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4983,6710 By Matching Biggest Common Factor Method

Greatest Common Factor of 4983,6710 By Matching Biggest Common Factor Method

Factors of 4983

List of positive integer factors of 4983 that divides 4983 without a remainder.

1,3,11,33,151,453,1661,4983

Factors of 6710

List of positive integer factors of 6710 that divides 6710 without a remainder.

1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710

Greatest Common Factor

We found the factors 4983,6710 . The biggest common factor number is the GCF number.
So the greatest common factor 4983,6710 is 11.

Lets's calculate LCM of 53,312

Given numbers has no common factors except 1. So, there LCM is their product i.e 16536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/16536

Therefore, the GCF of Fractions 4983/53,6710/312 is 11/16536

Least Common Multiple of 53,312 with GCF Formula

Least Common Multiple of 53,312 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 53,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,312) = 1

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

GCF(53,312) x common factors =1 x 1 = 1

LCM(53,312) = ( 53 × 312 ) / 1

LCM(53,312) = 16536 / 1

LCM(53,312) = 16536


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 4983/53, 6710/312

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 4983/53, 6710/312?

Answer: GCF of Numerators as per given numbers 4983/53, 6710/312 is

GCF of Numerators i.e. for 4983,6710 is 11

LCM of denominators i.e. for 53,312 is 16536.

Thus, GCF of Fractions is 11/16536.Finally, GCF of Fractions for 4983/53, 6710/312 is 11/16536.