Greatest Common Factor of 1675/99, 1914/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1675/99, 1914/249

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 1675/99,1914/249

Given fractions are 1675/99,1914/249

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 1675,1914

Greatest Common Factor of Numerators i.e. GCF of 1675,1914 is 1 .

LCM of Denominators means LCM of 99,249 as per the given fractions.

LCM of 99,249 is 8217 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1675,1914

GCF of Fractions 1675/99,1914/249 is 1/8217

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

Greatest Common Factor of 1675,1914 By Matching Biggest Common Factor Method

Greatest Common Factor of 1675,1914 By Matching Biggest Common Factor Method

Factors of 1675

List of positive integer factors of 1675 that divides 1675 without a remainder.

1,5,25,67,335,1675

Factors of 1914

List of positive integer factors of 1914 that divides 1914 without a remainder.

1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914

Greatest Common Factor

We found the factors 1675,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 1675,1914 is 1.

Lets's calculate LCM of 99,249

3 99, 249
33, 83

∴ So the LCM of the given numbers is 3 x 33 x 83 = 8217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8217

Therefore, the GCF of Fractions 1675/99,1914/249 is 1/8217

Least Common Multiple of 99,249 with GCF Formula

Least Common Multiple of 99,249 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 99,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,249) = 3

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

GCF(99,249) x common factors =3 x 1 = 3

LCM(99,249) = ( 99 × 249 ) / 3

LCM(99,249) = 24651 / 3

LCM(99,249) = 8217


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 1675/99, 1914/249

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 1675/99, 1914/249?

Answer: GCF of Numerators as per given numbers 1675/99, 1914/249 is

GCF of Numerators i.e. for 1675,1914 is 1

LCM of denominators i.e. for 99,249 is 8217.

Thus, GCF of Fractions is 1/8217.Finally, GCF of Fractions for 1675/99, 1914/249 is 1/8217.