Greatest Common Factor of 158/45, 754/59, 800/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 158/45, 754/59, 800/19

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 158/45,754/59,800/19

Given fractions are 158/45,754/59,800/19

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 158,754,800

Greatest Common Factor of Numerators i.e. GCF of 158,754,800 is 2 .

LCM of Denominators means LCM of 45,59,19 as per the given fractions.

LCM of 45,59,19 is 50445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 158,754,800

GCF of Fractions 158/45,754/59,800/19 is 2/50445

2 158, 754, 800
79, 377, 400

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 158,754,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,754,800 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 158,754,800 . The biggest common factor number is the GCF number.
So the greatest common factor 158,754,800 is 2.

Lets's calculate LCM of 45,59,19

Given numbers has no common factors except 1. So, there LCM is their product i.e 50445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50445

Therefore, the GCF of Fractions 158/45,754/59,800/19 is 2/50445

Least Common Multiple of 45,59,19 with GCF Formula

Least Common Multiple of 45,59,19 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 45,59,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,59,19) = 1

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

GCF(45,59,19) x common factors =1 x 1 = 1

LCM(45,59,19) = ( 45 × 59 × 19 ) / 1

LCM(45,59,19) = 50445 / 1

LCM(45,59,19) = 50445


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 158/45, 754/59, 800/19

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 158/45, 754/59, 800/19?

Answer: GCF of Numerators as per given numbers 158/45, 754/59, 800/19 is

GCF of Numerators i.e. for 158,754,800 is 2

LCM of denominators i.e. for 45,59,19 is 50445.

Thus, GCF of Fractions is 2/50445.Finally, GCF of Fractions for 158/45, 754/59, 800/19 is 2/50445.