Greatest Common Factor of 362/58, 462/33, 798/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 362/58, 462/33, 798/314

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 362/58,462/33,798/314

Given fractions are 362/58,462/33,798/314

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 362,462,798

Greatest Common Factor of Numerators i.e. GCF of 362,462,798 is 2 .

LCM of Denominators means LCM of 58,33,314 as per the given fractions.

LCM of 58,33,314 is 300498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 362,462,798

GCF of Fractions 362/58,462/33,798/314 is 2/300498

2 362, 462, 798
181, 231, 399

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

Greatest Common Factor of 362,462,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,462,798 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 362,462,798 . The biggest common factor number is the GCF number.
So the greatest common factor 362,462,798 is 2.

Lets's calculate LCM of 58,33,314

2 58, 33, 314
29, 33, 157

∴ So the LCM of the given numbers is 2 x 29 x 33 x 157 = 300498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300498

Therefore, the GCF of Fractions 362/58,462/33,798/314 is 2/300498

Least Common Multiple of 58,33,314 with GCF Formula

Least Common Multiple of 58,33,314 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 58,33,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,33,314) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,33,314) x common factors =1 x 2 = 2

LCM(58,33,314) = ( 58 × 33 × 314 ) / 2

LCM(58,33,314) = 600996 / 2

LCM(58,33,314) = 300498


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 362/58, 462/33, 798/314

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 362/58, 462/33, 798/314?

Answer: GCF of Numerators as per given numbers 362/58, 462/33, 798/314 is

GCF of Numerators i.e. for 362,462,798 is 2

LCM of denominators i.e. for 58,33,314 is 300498.

Thus, GCF of Fractions is 2/300498.Finally, GCF of Fractions for 362/58, 462/33, 798/314 is 2/300498.