Greatest Common Factor of 3399/102, 1362/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3399/102, 1362/295

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 3399/102,1362/295

Given fractions are 3399/102,1362/295

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 3399,1362

Greatest Common Factor of Numerators i.e. GCF of 3399,1362 is 3 .

LCM of Denominators means LCM of 102,295 as per the given fractions.

LCM of 102,295 is 30090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3399,1362

GCF of Fractions 3399/102,1362/295 is 3/30090

3 3399, 1362
1133, 454

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3399,1362 By Matching Biggest Common Factor Method

Greatest Common Factor of 3399,1362 By Matching Biggest Common Factor Method

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1,3,11,33,103,309,1133,3399

Factors of 1362

List of positive integer factors of 1362 that divides 1362 without a remainder.

1,2,3,6,227,454,681,1362

Greatest Common Factor

We found the factors 3399,1362 . The biggest common factor number is the GCF number.
So the greatest common factor 3399,1362 is 3.

Lets's calculate LCM of 102,295

Given numbers has no common factors except 1. So, there LCM is their product i.e 30090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30090

Therefore, the GCF of Fractions 3399/102,1362/295 is 3/30090

Least Common Multiple of 102,295 with GCF Formula

Least Common Multiple of 102,295 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 102,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,295) = 1

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

GCF(102,295) x common factors =1 x 1 = 1

LCM(102,295) = ( 102 × 295 ) / 1

LCM(102,295) = 30090 / 1

LCM(102,295) = 30090


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 3399/102, 1362/295

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 3399/102, 1362/295?

Answer: GCF of Numerators as per given numbers 3399/102, 1362/295 is

GCF of Numerators i.e. for 3399,1362 is 3

LCM of denominators i.e. for 102,295 is 30090.

Thus, GCF of Fractions is 3/30090.Finally, GCF of Fractions for 3399/102, 1362/295 is 3/30090.