Greatest Common Factor of 1650/419, 5361/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1650/419, 5361/120

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 1650/419,5361/120

Given fractions are 1650/419,5361/120

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 1650,5361

Greatest Common Factor of Numerators i.e. GCF of 1650,5361 is 3 .

LCM of Denominators means LCM of 419,120 as per the given fractions.

LCM of 419,120 is 50280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1650,5361

GCF of Fractions 1650/419,5361/120 is 3/50280

3 1650, 5361
550, 1787

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

Greatest Common Factor of 1650,5361 By Matching Biggest Common Factor Method

Greatest Common Factor of 1650,5361 By Matching Biggest Common Factor Method

Factors of 1650

List of positive integer factors of 1650 that divides 1650 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650

Factors of 5361

List of positive integer factors of 5361 that divides 5361 without a remainder.

1,3,1787,5361

Greatest Common Factor

We found the factors 1650,5361 . The biggest common factor number is the GCF number.
So the greatest common factor 1650,5361 is 3.

Lets's calculate LCM of 419,120

Given numbers has no common factors except 1. So, there LCM is their product i.e 50280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50280

Therefore, the GCF of Fractions 1650/419,5361/120 is 3/50280

Least Common Multiple of 419,120 with GCF Formula

Least Common Multiple of 419,120 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 419,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,120) = 1

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

GCF(419,120) x common factors =1 x 1 = 1

LCM(419,120) = ( 419 × 120 ) / 1

LCM(419,120) = 50280 / 1

LCM(419,120) = 50280


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 1650/419, 5361/120

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 1650/419, 5361/120?

Answer: GCF of Numerators as per given numbers 1650/419, 5361/120 is

GCF of Numerators i.e. for 1650,5361 is 3

LCM of denominators i.e. for 419,120 is 50280.

Thus, GCF of Fractions is 3/50280.Finally, GCF of Fractions for 1650/419, 5361/120 is 3/50280.