Greatest Common Factor of 493/69, 907/45, 341/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/69, 907/45, 341/185

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 493/69,907/45,341/185

Given fractions are 493/69,907/45,341/185

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 493,907,341

Greatest Common Factor of Numerators i.e. GCF of 493,907,341 is 1 .

LCM of Denominators means LCM of 69,45,185 as per the given fractions.

LCM of 69,45,185 is 38295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,907,341

GCF of Fractions 493/69,907/45,341/185 is 1/38295

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

Greatest Common Factor of 493,907,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,907,341 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 493,907,341 . The biggest common factor number is the GCF number.
So the greatest common factor 493,907,341 is 1.

Lets's calculate LCM of 69,45,185

3 69, 45, 185
5 23, 15, 185
23, 3, 37

∴ So the LCM of the given numbers is 3 x 5 x 23 x 3 x 37 = 38295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38295

Therefore, the GCF of Fractions 493/69,907/45,341/185 is 1/38295

Least Common Multiple of 69,45,185 with GCF Formula

Least Common Multiple of 69,45,185 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 69,45,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,45,185) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(69,45,185) x common factors =1 x 15 = 15

LCM(69,45,185) = ( 69 × 45 × 185 ) / 15

LCM(69,45,185) = 574425 / 15

LCM(69,45,185) = 38295


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 493/69, 907/45, 341/185

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 493/69, 907/45, 341/185?

Answer: GCF of Numerators as per given numbers 493/69, 907/45, 341/185 is

GCF of Numerators i.e. for 493,907,341 is 1

LCM of denominators i.e. for 69,45,185 is 38295.

Thus, GCF of Fractions is 1/38295.Finally, GCF of Fractions for 493/69, 907/45, 341/185 is 1/38295.