How to Find GCF of 35/671, 53/327, 470/199?

GCF of 35/671, 53/327, 470/199

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 35/671, 53/327, 470/199 i.e 1/43663983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/671, 53/327, 470/199.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 35/671,53/327,470/199?

Given fractions are 35/671,53/327,470/199

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 35/671,53/327,470/199, numerators are 35,53,470

Denominators are 671,327,199

The GCF of 35,53,470 is 1 .

LCM of 671,327,199 is 43663983.

The greatest common factor of 35/671,53/327,470/199 = [GCF of 35,53,470]/[LCM of 671,327,199]= 1/43663983

Therefore, the GCF of 35/671,53/327,470/199 is 1/43663983.

Greatest Common Factor of 35,53,470

To find the highest common factor of 35,53,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

The factors of 53 are 1, 53

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 35,53,470 is 1.

Lets's calculate GCF of 35,53,470

Greatest Common Factor (GCF) of 35,53,470 By Common Division

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

Greatest Common Factor of 35,53,470 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 53

1,53

Now, list down the factors of 470

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 35,53,470 . The biggest common factor number is the GCF number.
So the greatest common factor 35,53,470 is 1.

Lets's calculate LCM of 671,327,199

Lowest Common Multiple of 671,327,199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 43663983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43663983

Therefore, the GCF of Fractions 35/671,53/327,470/199 is 1/43663983

Least Common Multiple of 671,327,199 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 671,327,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,327,199) = 1

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

GCF(671,327,199) x common factors =1 x 1 = 1

LCM(671,327,199) = ( 671 × 327 × 199 ) / 1

LCM(671,327,199) = 43663983 / 1

LCM(671,327,199) = 43663983

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 35/671, 53/327, 470/199

1. What is the HCF of 35,53,470?

The HCF of 35,53,470 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 35/671, 53/327, 470/199?

Answer: GCF of Numerators as per given numbers 35/671, 53/327, 470/199 is

GCF of Numerators i.e. for 35,53,470 is 1

LCM of denominators i.e. for 671,327,199 is 43663983.

Thus, GCF of Fractions is 1/43663983.Finally, GCF of Fractions for 35/671, 53/327, 470/199 is 1/43663983.