Greatest Common Factor of 3135/426, 5905/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3135/426, 5905/889

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 3135/426,5905/889

Given fractions are 3135/426,5905/889

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 3135,5905

Greatest Common Factor of Numerators i.e. GCF of 3135,5905 is 5 .

LCM of Denominators means LCM of 426,889 as per the given fractions.

LCM of 426,889 is 378714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3135,5905

GCF of Fractions 3135/426,5905/889 is 5/378714

5 3135, 5905
627, 1181

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3135,5905 By Matching Biggest Common Factor Method

Greatest Common Factor of 3135,5905 By Matching Biggest Common Factor Method

Factors of 3135

List of positive integer factors of 3135 that divides 3135 without a remainder.

1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135

Factors of 5905

List of positive integer factors of 5905 that divides 5905 without a remainder.

1,5,1181,5905

Greatest Common Factor

We found the factors 3135,5905 . The biggest common factor number is the GCF number.
So the greatest common factor 3135,5905 is 5.

Lets's calculate LCM of 426,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 378714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/378714

Therefore, the GCF of Fractions 3135/426,5905/889 is 5/378714

Least Common Multiple of 426,889 with GCF Formula

Least Common Multiple of 426,889 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 426,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,889) = 1

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

GCF(426,889) x common factors =1 x 1 = 1

LCM(426,889) = ( 426 × 889 ) / 1

LCM(426,889) = 378714 / 1

LCM(426,889) = 378714


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 3135/426, 5905/889

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 3135/426, 5905/889?

Answer: GCF of Numerators as per given numbers 3135/426, 5905/889 is

GCF of Numerators i.e. for 3135,5905 is 5

LCM of denominators i.e. for 426,889 is 378714.

Thus, GCF of Fractions is 5/378714.Finally, GCF of Fractions for 3135/426, 5905/889 is 5/378714.