Greatest Common Factor of 6075/449, 8045/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6075/449, 8045/310

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 6075/449,8045/310

Given fractions are 6075/449,8045/310

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 6075,8045

Greatest Common Factor of Numerators i.e. GCF of 6075,8045 is 5 .

LCM of Denominators means LCM of 449,310 as per the given fractions.

LCM of 449,310 is 139190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6075,8045

GCF of Fractions 6075/449,8045/310 is 5/139190

5 6075, 8045
1215, 1609

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

Greatest Common Factor of 6075,8045 By Matching Biggest Common Factor Method

Greatest Common Factor of 6075,8045 By Matching Biggest Common Factor Method

Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075

Factors of 8045

List of positive integer factors of 8045 that divides 8045 without a remainder.

1,5,1609,8045

Greatest Common Factor

We found the factors 6075,8045 . The biggest common factor number is the GCF number.
So the greatest common factor 6075,8045 is 5.

Lets's calculate LCM of 449,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 139190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/139190

Therefore, the GCF of Fractions 6075/449,8045/310 is 5/139190

Least Common Multiple of 449,310 with GCF Formula

Least Common Multiple of 449,310 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 449,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,310) = 1

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

GCF(449,310) x common factors =1 x 1 = 1

LCM(449,310) = ( 449 × 310 ) / 1

LCM(449,310) = 139190 / 1

LCM(449,310) = 139190


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 6075/449, 8045/310

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 6075/449, 8045/310?

Answer: GCF of Numerators as per given numbers 6075/449, 8045/310 is

GCF of Numerators i.e. for 6075,8045 is 5

LCM of denominators i.e. for 449,310 is 139190.

Thus, GCF of Fractions is 5/139190.Finally, GCF of Fractions for 6075/449, 8045/310 is 5/139190.