Greatest Common Factor of 5075/259, 6485/8005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5075/259, 6485/8005

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 5075/259,6485/8005

Given fractions are 5075/259,6485/8005

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 5075,6485

Greatest Common Factor of Numerators i.e. GCF of 5075,6485 is 5 .

LCM of Denominators means LCM of 259,8005 as per the given fractions.

LCM of 259,8005 is 2073295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5075,6485

GCF of Fractions 5075/259,6485/8005 is 5/2073295

5 5075, 6485
1015, 1297

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

Greatest Common Factor of 5075,6485 By Matching Biggest Common Factor Method

Greatest Common Factor of 5075,6485 By Matching Biggest Common Factor Method

Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1,5,7,25,29,35,145,175,203,725,1015,5075

Factors of 6485

List of positive integer factors of 6485 that divides 6485 without a remainder.

1,5,1297,6485

Greatest Common Factor

We found the factors 5075,6485 . The biggest common factor number is the GCF number.
So the greatest common factor 5075,6485 is 5.

Lets's calculate LCM of 259,8005

Given numbers has no common factors except 1. So, there LCM is their product i.e 2073295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2073295

Therefore, the GCF of Fractions 5075/259,6485/8005 is 5/2073295

Least Common Multiple of 259,8005 with GCF Formula

Least Common Multiple of 259,8005 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 259,8005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,8005) = 1

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

GCF(259,8005) x common factors =1 x 1 = 1

LCM(259,8005) = ( 259 × 8005 ) / 1

LCM(259,8005) = 2073295 / 1

LCM(259,8005) = 2073295


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 5075/259, 6485/8005

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 5075/259, 6485/8005?

Answer: GCF of Numerators as per given numbers 5075/259, 6485/8005 is

GCF of Numerators i.e. for 5075,6485 is 5

LCM of denominators i.e. for 259,8005 is 2073295.

Thus, GCF of Fractions is 5/2073295.Finally, GCF of Fractions for 5075/259, 6485/8005 is 5/2073295.