Greatest Common Factor of 49/54, 120/75, 471/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/54, 120/75, 471/671

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 49/54,120/75,471/671

Given fractions are 49/54,120/75,471/671

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 49,120,471

Greatest Common Factor of Numerators i.e. GCF of 49,120,471 is 1 .

LCM of Denominators means LCM of 54,75,671 as per the given fractions.

LCM of 54,75,671 is 905850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,120,471

GCF of Fractions 49/54,120/75,471/671 is 1/905850

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

Greatest Common Factor of 49,120,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,120,471 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

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 49,120,471 . The biggest common factor number is the GCF number.
So the greatest common factor 49,120,471 is 1.

Lets's calculate LCM of 54,75,671

3 54, 75, 671
18, 25, 671

∴ So the LCM of the given numbers is 3 x 18 x 25 x 671 = 905850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/905850

Therefore, the GCF of Fractions 49/54,120/75,471/671 is 1/905850

Least Common Multiple of 54,75,671 with GCF Formula

Least Common Multiple of 54,75,671 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 54,75,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,75,671) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,75,671) x common factors =1 x 3 = 3

LCM(54,75,671) = ( 54 × 75 × 671 ) / 3

LCM(54,75,671) = 2717550 / 3

LCM(54,75,671) = 905850


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 49/54, 120/75, 471/671

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 49/54, 120/75, 471/671?

Answer: GCF of Numerators as per given numbers 49/54, 120/75, 471/671 is

GCF of Numerators i.e. for 49,120,471 is 1

LCM of denominators i.e. for 54,75,671 is 905850.

Thus, GCF of Fractions is 1/905850.Finally, GCF of Fractions for 49/54, 120/75, 471/671 is 1/905850.