Greatest Common Factor of 363/370, 6006/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 363/370, 6006/701

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 363/370,6006/701

Given fractions are 363/370,6006/701

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 363,6006

Greatest Common Factor of Numerators i.e. GCF of 363,6006 is 33 .

LCM of Denominators means LCM of 370,701 as per the given fractions.

LCM of 370,701 is 259370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 363,6006

GCF of Fractions 363/370,6006/701 is 33/259370

3 363, 6006
11 121, 2002
11, 182

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 363,6006 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,6006 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Greatest Common Factor

We found the factors 363,6006 . The biggest common factor number is the GCF number.
So the greatest common factor 363,6006 is 33.

Lets's calculate LCM of 370,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 259370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/259370

Therefore, the GCF of Fractions 363/370,6006/701 is 33/259370

Least Common Multiple of 370,701 with GCF Formula

Least Common Multiple of 370,701 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 370,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,701) = 1

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

GCF(370,701) x common factors =1 x 1 = 1

LCM(370,701) = ( 370 × 701 ) / 1

LCM(370,701) = 259370 / 1

LCM(370,701) = 259370


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 363/370, 6006/701

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 363/370, 6006/701?

Answer: GCF of Numerators as per given numbers 363/370, 6006/701 is

GCF of Numerators i.e. for 363,6006 is 33

LCM of denominators i.e. for 370,701 is 259370.

Thus, GCF of Fractions is 33/259370.Finally, GCF of Fractions for 363/370, 6006/701 is 33/259370.