Greatest Common Factor of 1899/925, 2841/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1899/925, 2841/892

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 1899/925,2841/892

Given fractions are 1899/925,2841/892

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 1899,2841

Greatest Common Factor of Numerators i.e. GCF of 1899,2841 is 3 .

LCM of Denominators means LCM of 925,892 as per the given fractions.

LCM of 925,892 is 825100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1899,2841

GCF of Fractions 1899/925,2841/892 is 3/825100

3 1899, 2841
633, 947

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1899,2841 By Matching Biggest Common Factor Method

Greatest Common Factor of 1899,2841 By Matching Biggest Common Factor Method

Factors of 1899

List of positive integer factors of 1899 that divides 1899 without a remainder.

1,3,9,211,633,1899

Factors of 2841

List of positive integer factors of 2841 that divides 2841 without a remainder.

1,3,947,2841

Greatest Common Factor

We found the factors 1899,2841 . The biggest common factor number is the GCF number.
So the greatest common factor 1899,2841 is 3.

Lets's calculate LCM of 925,892

Given numbers has no common factors except 1. So, there LCM is their product i.e 825100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/825100

Therefore, the GCF of Fractions 1899/925,2841/892 is 3/825100

Least Common Multiple of 925,892 with GCF Formula

Least Common Multiple of 925,892 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 925,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,892) = 1

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

GCF(925,892) x common factors =1 x 1 = 1

LCM(925,892) = ( 925 × 892 ) / 1

LCM(925,892) = 825100 / 1

LCM(925,892) = 825100


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 1899/925, 2841/892

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 1899/925, 2841/892?

Answer: GCF of Numerators as per given numbers 1899/925, 2841/892 is

GCF of Numerators i.e. for 1899,2841 is 3

LCM of denominators i.e. for 925,892 is 825100.

Thus, GCF of Fractions is 3/825100.Finally, GCF of Fractions for 1899/925, 2841/892 is 3/825100.