Greatest Common Factor of 3125/703, 8090/6443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3125/703, 8090/6443

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 3125/703,8090/6443

Given fractions are 3125/703,8090/6443

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 3125,8090

Greatest Common Factor of Numerators i.e. GCF of 3125,8090 is 5 .

LCM of Denominators means LCM of 703,6443 as per the given fractions.

LCM of 703,6443 is 4529429 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3125,8090

GCF of Fractions 3125/703,8090/6443 is 5/4529429

5 3125, 8090
625, 1618

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

Greatest Common Factor of 3125,8090 By Matching Biggest Common Factor Method

Greatest Common Factor of 3125,8090 By Matching Biggest Common Factor Method

Factors of 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1,5,25,125,625,3125

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1,2,5,10,809,1618,4045,8090

Greatest Common Factor

We found the factors 3125,8090 . The biggest common factor number is the GCF number.
So the greatest common factor 3125,8090 is 5.

Lets's calculate LCM of 703,6443

Given numbers has no common factors except 1. So, there LCM is their product i.e 4529429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4529429

Therefore, the GCF of Fractions 3125/703,8090/6443 is 5/4529429

Least Common Multiple of 703,6443 with GCF Formula

Least Common Multiple of 703,6443 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 703,6443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,6443) = 1

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

GCF(703,6443) x common factors =1 x 1 = 1

LCM(703,6443) = ( 703 × 6443 ) / 1

LCM(703,6443) = 4529429 / 1

LCM(703,6443) = 4529429


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 3125/703, 8090/6443

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 3125/703, 8090/6443?

Answer: GCF of Numerators as per given numbers 3125/703, 8090/6443 is

GCF of Numerators i.e. for 3125,8090 is 5

LCM of denominators i.e. for 703,6443 is 4529429.

Thus, GCF of Fractions is 5/4529429.Finally, GCF of Fractions for 3125/703, 8090/6443 is 5/4529429.