Greatest Common Factor of 1859/687, 3377/9055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1859/687, 3377/9055

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 1859/687,3377/9055

Given fractions are 1859/687,3377/9055

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 1859,3377

Greatest Common Factor of Numerators i.e. GCF of 1859,3377 is 11 .

LCM of Denominators means LCM of 687,9055 as per the given fractions.

LCM of 687,9055 is 6220785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1859,3377

GCF of Fractions 1859/687,3377/9055 is 11/6220785

11 1859, 3377
169, 307

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1859,3377 By Matching Biggest Common Factor Method

Greatest Common Factor of 1859,3377 By Matching Biggest Common Factor Method

Factors of 1859

List of positive integer factors of 1859 that divides 1859 without a remainder.

1,11,13,143,169,1859

Factors of 3377

List of positive integer factors of 3377 that divides 3377 without a remainder.

1,11,307,3377

Greatest Common Factor

We found the factors 1859,3377 . The biggest common factor number is the GCF number.
So the greatest common factor 1859,3377 is 11.

Lets's calculate LCM of 687,9055

Given numbers has no common factors except 1. So, there LCM is their product i.e 6220785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6220785

Therefore, the GCF of Fractions 1859/687,3377/9055 is 11/6220785

Least Common Multiple of 687,9055 with GCF Formula

Least Common Multiple of 687,9055 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 687,9055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,9055) = 1

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

GCF(687,9055) x common factors =1 x 1 = 1

LCM(687,9055) = ( 687 × 9055 ) / 1

LCM(687,9055) = 6220785 / 1

LCM(687,9055) = 6220785


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 1859/687, 3377/9055

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 1859/687, 3377/9055?

Answer: GCF of Numerators as per given numbers 1859/687, 3377/9055 is

GCF of Numerators i.e. for 1859,3377 is 11

LCM of denominators i.e. for 687,9055 is 6220785.

Thus, GCF of Fractions is 11/6220785.Finally, GCF of Fractions for 1859/687, 3377/9055 is 11/6220785.