Greatest Common Factor of 33/19, 25/74, 310/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/19, 25/74, 310/989

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 33/19,25/74,310/989

Given fractions are 33/19,25/74,310/989

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 33,25,310

Greatest Common Factor of Numerators i.e. GCF of 33,25,310 is 1 .

LCM of Denominators means LCM of 19,74,989 as per the given fractions.

LCM of 19,74,989 is 1390534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,25,310

GCF of Fractions 33/19,25/74,310/989 is 1/1390534

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

Greatest Common Factor of 33,25,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,25,310 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 33,25,310 . The biggest common factor number is the GCF number.
So the greatest common factor 33,25,310 is 1.

Lets's calculate LCM of 19,74,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 1390534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1390534

Therefore, the GCF of Fractions 33/19,25/74,310/989 is 1/1390534

Least Common Multiple of 19,74,989 with GCF Formula

Least Common Multiple of 19,74,989 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 19,74,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,74,989) = 1

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

GCF(19,74,989) x common factors =1 x 1 = 1

LCM(19,74,989) = ( 19 × 74 × 989 ) / 1

LCM(19,74,989) = 1390534 / 1

LCM(19,74,989) = 1390534


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 33/19, 25/74, 310/989

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 33/19, 25/74, 310/989?

Answer: GCF of Numerators as per given numbers 33/19, 25/74, 310/989 is

GCF of Numerators i.e. for 33,25,310 is 1

LCM of denominators i.e. for 19,74,989 is 1390534.

Thus, GCF of Fractions is 1/1390534.Finally, GCF of Fractions for 33/19, 25/74, 310/989 is 1/1390534.