Greatest Common Factor of 35/59, 357/20, 211/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/59, 357/20, 211/361

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 35/59,357/20,211/361

Given fractions are 35/59,357/20,211/361

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 35,357,211

Greatest Common Factor of Numerators i.e. GCF of 35,357,211 is 1 .

LCM of Denominators means LCM of 59,20,361 as per the given fractions.

LCM of 59,20,361 is 425980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,357,211

GCF of Fractions 35/59,357/20,211/361 is 1/425980

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

Greatest Common Factor of 35,357,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,357,211 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 35,357,211 . The biggest common factor number is the GCF number.
So the greatest common factor 35,357,211 is 1.

Lets's calculate LCM of 59,20,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 425980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425980

Therefore, the GCF of Fractions 35/59,357/20,211/361 is 1/425980

Least Common Multiple of 59,20,361 with GCF Formula

Least Common Multiple of 59,20,361 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 59,20,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,20,361) = 1

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

GCF(59,20,361) x common factors =1 x 1 = 1

LCM(59,20,361) = ( 59 × 20 × 361 ) / 1

LCM(59,20,361) = 425980 / 1

LCM(59,20,361) = 425980


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 35/59, 357/20, 211/361

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 35/59, 357/20, 211/361?

Answer: GCF of Numerators as per given numbers 35/59, 357/20, 211/361 is

GCF of Numerators i.e. for 35,357,211 is 1

LCM of denominators i.e. for 59,20,361 is 425980.

Thus, GCF of Fractions is 1/425980.Finally, GCF of Fractions for 35/59, 357/20, 211/361 is 1/425980.