Greatest Common Factor of 495/35, 471/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/35, 471/572

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 495/35,471/572

Given fractions are 495/35,471/572

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 495,471

Greatest Common Factor of Numerators i.e. GCF of 495,471 is 3 .

LCM of Denominators means LCM of 35,572 as per the given fractions.

LCM of 35,572 is 20020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,471

GCF of Fractions 495/35,471/572 is 3/20020

3 495, 471
165, 157

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 495,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,471 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 495,471 . The biggest common factor number is the GCF number.
So the greatest common factor 495,471 is 3.

Lets's calculate LCM of 35,572

Given numbers has no common factors except 1. So, there LCM is their product i.e 20020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20020

Therefore, the GCF of Fractions 495/35,471/572 is 3/20020

Least Common Multiple of 35,572 with GCF Formula

Least Common Multiple of 35,572 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 35,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,572) = 1

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

GCF(35,572) x common factors =1 x 1 = 1

LCM(35,572) = ( 35 × 572 ) / 1

LCM(35,572) = 20020 / 1

LCM(35,572) = 20020


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 495/35, 471/572

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 495/35, 471/572?

Answer: GCF of Numerators as per given numbers 495/35, 471/572 is

GCF of Numerators i.e. for 495,471 is 3

LCM of denominators i.e. for 35,572 is 20020.

Thus, GCF of Fractions is 3/20020.Finally, GCF of Fractions for 495/35, 471/572 is 3/20020.