Greatest Common Factor of 361/27, 1755/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 361/27, 1755/470

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 361/27,1755/470

Given fractions are 361/27,1755/470

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 361,1755

Greatest Common Factor of Numerators i.e. GCF of 361,1755 is 1 .

LCM of Denominators means LCM of 27,470 as per the given fractions.

LCM of 27,470 is 12690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 361,1755

GCF of Fractions 361/27,1755/470 is 1/12690

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

Greatest Common Factor of 361,1755 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,1755 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors 361,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 361,1755 is 1.

Lets's calculate LCM of 27,470

Given numbers has no common factors except 1. So, there LCM is their product i.e 12690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12690

Therefore, the GCF of Fractions 361/27,1755/470 is 1/12690

Least Common Multiple of 27,470 with GCF Formula

Least Common Multiple of 27,470 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 27,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,470) = 1

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

GCF(27,470) x common factors =1 x 1 = 1

LCM(27,470) = ( 27 × 470 ) / 1

LCM(27,470) = 12690 / 1

LCM(27,470) = 12690


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 361/27, 1755/470

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 361/27, 1755/470?

Answer: GCF of Numerators as per given numbers 361/27, 1755/470 is

GCF of Numerators i.e. for 361,1755 is 1

LCM of denominators i.e. for 27,470 is 12690.

Thus, GCF of Fractions is 1/12690.Finally, GCF of Fractions for 361/27, 1755/470 is 1/12690.