Greatest Common Factor of 3361/366, 4765/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3361/366, 4765/726

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 3361/366,4765/726

Given fractions are 3361/366,4765/726

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 3361,4765

Greatest Common Factor of Numerators i.e. GCF of 3361,4765 is 1 .

LCM of Denominators means LCM of 366,726 as per the given fractions.

LCM of 366,726 is 44286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3361,4765

GCF of Fractions 3361/366,4765/726 is 1/44286

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

Greatest Common Factor of 3361,4765 By Matching Biggest Common Factor Method

Greatest Common Factor of 3361,4765 By Matching Biggest Common Factor Method

Factors of 3361

List of positive integer factors of 3361 that divides 3361 without a remainder.

1,3361

Factors of 4765

List of positive integer factors of 4765 that divides 4765 without a remainder.

1,5,953,4765

Greatest Common Factor

We found the factors 3361,4765 . The biggest common factor number is the GCF number.
So the greatest common factor 3361,4765 is 1.

Lets's calculate LCM of 366,726

2 366, 726
3 183, 363
61, 121

∴ So the LCM of the given numbers is 2 x 3 x 61 x 121 = 44286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44286

Therefore, the GCF of Fractions 3361/366,4765/726 is 1/44286

Least Common Multiple of 366,726 with GCF Formula

Least Common Multiple of 366,726 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 366,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,726) = 6

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

GCF(366,726) x common factors =6 x 1 = 6

LCM(366,726) = ( 366 × 726 ) / 6

LCM(366,726) = 265716 / 6

LCM(366,726) = 44286


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 3361/366, 4765/726

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 3361/366, 4765/726?

Answer: GCF of Numerators as per given numbers 3361/366, 4765/726 is

GCF of Numerators i.e. for 3361,4765 is 1

LCM of denominators i.e. for 366,726 is 44286.

Thus, GCF of Fractions is 1/44286.Finally, GCF of Fractions for 3361/366, 4765/726 is 1/44286.