Greatest Common Factor of 306/219, 361/871, 705/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/219, 361/871, 705/955

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 306/219,361/871,705/955

Given fractions are 306/219,361/871,705/955

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 306,361,705

Greatest Common Factor of Numerators i.e. GCF of 306,361,705 is 1 .

LCM of Denominators means LCM of 219,871,955 as per the given fractions.

LCM of 219,871,955 is 182165295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,361,705

GCF of Fractions 306/219,361/871,705/955 is 1/182165295

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

Greatest Common Factor of 306,361,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,361,705 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 361

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

1,19,361

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 306,361,705 . The biggest common factor number is the GCF number.
So the greatest common factor 306,361,705 is 1.

Lets's calculate LCM of 219,871,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 182165295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182165295

Therefore, the GCF of Fractions 306/219,361/871,705/955 is 1/182165295

Least Common Multiple of 219,871,955 with GCF Formula

Least Common Multiple of 219,871,955 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 219,871,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,871,955) = 1

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

GCF(219,871,955) x common factors =1 x 1 = 1

LCM(219,871,955) = ( 219 × 871 × 955 ) / 1

LCM(219,871,955) = 182165295 / 1

LCM(219,871,955) = 182165295


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 306/219, 361/871, 705/955

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 306/219, 361/871, 705/955?

Answer: GCF of Numerators as per given numbers 306/219, 361/871, 705/955 is

GCF of Numerators i.e. for 306,361,705 is 1

LCM of denominators i.e. for 219,871,955 is 182165295.

Thus, GCF of Fractions is 1/182165295.Finally, GCF of Fractions for 306/219, 361/871, 705/955 is 1/182165295.