Greatest Common Factor of 302/66, 393/14, 283/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 302/66, 393/14, 283/684

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 302/66,393/14,283/684

Given fractions are 302/66,393/14,283/684

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 302,393,283

Greatest Common Factor of Numerators i.e. GCF of 302,393,283 is 1 .

LCM of Denominators means LCM of 66,14,684 as per the given fractions.

LCM of 66,14,684 is 52668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 302,393,283

GCF of Fractions 302/66,393/14,283/684 is 1/52668

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

Greatest Common Factor of 302,393,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,393,283 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 302,393,283 . The biggest common factor number is the GCF number.
So the greatest common factor 302,393,283 is 1.


Lets's calculate LCM of 66,14,684

2 66, 14, 684
3 33, 7, 342
11, 7, 114

∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 114 = 52668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52668

Therefore, the GCF of Fractions 302/66,393/14,283/684 is 1/52668

Least Common Multiple of 66,14,684 with GCF Formula

Least Common Multiple of 66,14,684 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 66,14,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,14,684) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(66,14,684) x common factors =2 x 6 = 12

LCM(66,14,684) = ( 66 × 14 × 684 ) / 12

LCM(66,14,684) = 632016 / 12

LCM(66,14,684) = 52668


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 302/66, 393/14, 283/684

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 302/66, 393/14, 283/684?

Answer: GCF of Numerators as per given numbers 302/66, 393/14, 283/684 is

GCF of Numerators i.e. for 302,393,283 is 1

LCM of denominators i.e. for 66,14,684 is 52668.

Thus, GCF of Fractions is 1/52668.Finally, GCF of Fractions for 302/66, 393/14, 283/684 is 1/52668.