Greatest Common Factor of 1448/30, 1901/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1448/30, 1901/200

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 1448/30,1901/200

Given fractions are 1448/30,1901/200

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 1448,1901

Greatest Common Factor of Numerators i.e. GCF of 1448,1901 is 1 .

LCM of Denominators means LCM of 30,200 as per the given fractions.

LCM of 30,200 is 600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1448,1901

GCF of Fractions 1448/30,1901/200 is 1/600

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

Greatest Common Factor of 1448,1901 By Matching Biggest Common Factor Method

Greatest Common Factor of 1448,1901 By Matching Biggest Common Factor Method

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Factors of 1901

List of positive integer factors of 1901 that divides 1901 without a remainder.

1,1901

Greatest Common Factor

We found the factors 1448,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 1448,1901 is 1.

Lets's calculate LCM of 30,200

2 30, 200
5 15, 100
3, 20

∴ So the LCM of the given numbers is 2 x 5 x 3 x 20 = 600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600

Therefore, the GCF of Fractions 1448/30,1901/200 is 1/600

Least Common Multiple of 30,200 with GCF Formula

Least Common Multiple of 30,200 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 30,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,200) = 10

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

GCF(30,200) x common factors =10 x 1 = 10

LCM(30,200) = ( 30 × 200 ) / 10

LCM(30,200) = 6000 / 10

LCM(30,200) = 600


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 1448/30, 1901/200

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 1448/30, 1901/200?

Answer: GCF of Numerators as per given numbers 1448/30, 1901/200 is

GCF of Numerators i.e. for 1448,1901 is 1

LCM of denominators i.e. for 30,200 is 600.

Thus, GCF of Fractions is 1/600.Finally, GCF of Fractions for 1448/30, 1901/200 is 1/600.