Greatest Common Factor of 1975/107, 5819/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1975/107, 5819/889

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 1975/107,5819/889

Given fractions are 1975/107,5819/889

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 1975,5819

Greatest Common Factor of Numerators i.e. GCF of 1975,5819 is 1 .

LCM of Denominators means LCM of 107,889 as per the given fractions.

LCM of 107,889 is 95123 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1975,5819

GCF of Fractions 1975/107,5819/889 is 1/95123

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

Greatest Common Factor of 1975,5819 By Matching Biggest Common Factor Method

Greatest Common Factor of 1975,5819 By Matching Biggest Common Factor Method

Factors of 1975

List of positive integer factors of 1975 that divides 1975 without a remainder.

1,5,25,79,395,1975

Factors of 5819

List of positive integer factors of 5819 that divides 5819 without a remainder.

1,11,23,253,529,5819

Greatest Common Factor

We found the factors 1975,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 1975,5819 is 1.

Lets's calculate LCM of 107,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 95123

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95123

Therefore, the GCF of Fractions 1975/107,5819/889 is 1/95123

Least Common Multiple of 107,889 with GCF Formula

Least Common Multiple of 107,889 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 107,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,889) = 1

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

GCF(107,889) x common factors =1 x 1 = 1

LCM(107,889) = ( 107 × 889 ) / 1

LCM(107,889) = 95123 / 1

LCM(107,889) = 95123


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 1975/107, 5819/889

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 1975/107, 5819/889?

Answer: GCF of Numerators as per given numbers 1975/107, 5819/889 is

GCF of Numerators i.e. for 1975,5819 is 1

LCM of denominators i.e. for 107,889 is 95123.

Thus, GCF of Fractions is 1/95123.Finally, GCF of Fractions for 1975/107, 5819/889 is 1/95123.