Greatest Common Factor of 19/44, 32/365, 202/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/44, 32/365, 202/296

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 19/44,32/365,202/296

Given fractions are 19/44,32/365,202/296

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 19,32,202

Greatest Common Factor of Numerators i.e. GCF of 19,32,202 is 1 .

LCM of Denominators means LCM of 44,365,296 as per the given fractions.

LCM of 44,365,296 is 1188440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,32,202

GCF of Fractions 19/44,32/365,202/296 is 1/1188440

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

Greatest Common Factor of 19,32,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,32,202 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 19,32,202 . The biggest common factor number is the GCF number.
So the greatest common factor 19,32,202 is 1.

Lets's calculate LCM of 44,365,296

2 44, 365, 296
2 22, 365, 148
11, 365, 74

∴ So the LCM of the given numbers is 2 x 2 x 11 x 365 x 74 = 1188440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188440

Therefore, the GCF of Fractions 19/44,32/365,202/296 is 1/1188440

Least Common Multiple of 44,365,296 with GCF Formula

Least Common Multiple of 44,365,296 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 44,365,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,365,296) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,365,296) x common factors =1 x 4 = 4

LCM(44,365,296) = ( 44 × 365 × 296 ) / 4

LCM(44,365,296) = 4753760 / 4

LCM(44,365,296) = 1188440


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 19/44, 32/365, 202/296

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 19/44, 32/365, 202/296?

Answer: GCF of Numerators as per given numbers 19/44, 32/365, 202/296 is

GCF of Numerators i.e. for 19,32,202 is 1

LCM of denominators i.e. for 44,365,296 is 1188440.

Thus, GCF of Fractions is 1/1188440.Finally, GCF of Fractions for 19/44, 32/365, 202/296 is 1/1188440.