Greatest Common Factor of 3308/983, 1331/5350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3308/983, 1331/5350

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 3308/983,1331/5350

Given fractions are 3308/983,1331/5350

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 3308,1331

Greatest Common Factor of Numerators i.e. GCF of 3308,1331 is 1 .

LCM of Denominators means LCM of 983,5350 as per the given fractions.

LCM of 983,5350 is 5259050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3308,1331

GCF of Fractions 3308/983,1331/5350 is 1/5259050

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3308,1331 By Matching Biggest Common Factor Method

Greatest Common Factor of 3308,1331 By Matching Biggest Common Factor Method

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1,2,4,827,1654,3308

Factors of 1331

List of positive integer factors of 1331 that divides 1331 without a remainder.

1,11,121,1331

Greatest Common Factor

We found the factors 3308,1331 . The biggest common factor number is the GCF number.
So the greatest common factor 3308,1331 is 1.

Lets's calculate LCM of 983,5350

Given numbers has no common factors except 1. So, there LCM is their product i.e 5259050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5259050

Therefore, the GCF of Fractions 3308/983,1331/5350 is 1/5259050

Least Common Multiple of 983,5350 with GCF Formula

Least Common Multiple of 983,5350 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 983,5350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,5350) = 1

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

GCF(983,5350) x common factors =1 x 1 = 1

LCM(983,5350) = ( 983 × 5350 ) / 1

LCM(983,5350) = 5259050 / 1

LCM(983,5350) = 5259050


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 3308/983, 1331/5350

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 3308/983, 1331/5350?

Answer: GCF of Numerators as per given numbers 3308/983, 1331/5350 is

GCF of Numerators i.e. for 3308,1331 is 1

LCM of denominators i.e. for 983,5350 is 5259050.

Thus, GCF of Fractions is 1/5259050.Finally, GCF of Fractions for 3308/983, 1331/5350 is 1/5259050.