Greatest Common Factor of 5896/86, 3025/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5896/86, 3025/205

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 5896/86,3025/205

Given fractions are 5896/86,3025/205

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 5896,3025

Greatest Common Factor of Numerators i.e. GCF of 5896,3025 is 11 .

LCM of Denominators means LCM of 86,205 as per the given fractions.

LCM of 86,205 is 17630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5896,3025

GCF of Fractions 5896/86,3025/205 is 11/17630

11 5896, 3025
536, 275

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

Greatest Common Factor of 5896,3025 By Matching Biggest Common Factor Method

Greatest Common Factor of 5896,3025 By Matching Biggest Common Factor Method

Factors of 5896

List of positive integer factors of 5896 that divides 5896 without a remainder.

1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1,5,11,25,55,121,275,605,3025

Greatest Common Factor

We found the factors 5896,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 5896,3025 is 11.

Lets's calculate LCM of 86,205

Given numbers has no common factors except 1. So, there LCM is their product i.e 17630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/17630

Therefore, the GCF of Fractions 5896/86,3025/205 is 11/17630

Least Common Multiple of 86,205 with GCF Formula

Least Common Multiple of 86,205 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 86,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,205) = 1

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

GCF(86,205) x common factors =1 x 1 = 1

LCM(86,205) = ( 86 × 205 ) / 1

LCM(86,205) = 17630 / 1

LCM(86,205) = 17630


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 5896/86, 3025/205

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 5896/86, 3025/205?

Answer: GCF of Numerators as per given numbers 5896/86, 3025/205 is

GCF of Numerators i.e. for 5896,3025 is 11

LCM of denominators i.e. for 86,205 is 17630.

Thus, GCF of Fractions is 11/17630.Finally, GCF of Fractions for 5896/86, 3025/205 is 11/17630.