Greatest Common Factor of 7205/58, 3045/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7205/58, 3045/985

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 7205/58,3045/985

Given fractions are 7205/58,3045/985

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 7205,3045

Greatest Common Factor of Numerators i.e. GCF of 7205,3045 is 5 .

LCM of Denominators means LCM of 58,985 as per the given fractions.

LCM of 58,985 is 57130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7205,3045

GCF of Fractions 7205/58,3045/985 is 5/57130

5 7205, 3045
1441, 609

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

Greatest Common Factor of 7205,3045 By Matching Biggest Common Factor Method

Greatest Common Factor of 7205,3045 By Matching Biggest Common Factor Method

Factors of 7205

List of positive integer factors of 7205 that divides 7205 without a remainder.

1,5,11,55,131,655,1441,7205

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Greatest Common Factor

We found the factors 7205,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 7205,3045 is 5.

Lets's calculate LCM of 58,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 57130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/57130

Therefore, the GCF of Fractions 7205/58,3045/985 is 5/57130

Least Common Multiple of 58,985 with GCF Formula

Least Common Multiple of 58,985 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 58,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,985) = 1

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

GCF(58,985) x common factors =1 x 1 = 1

LCM(58,985) = ( 58 × 985 ) / 1

LCM(58,985) = 57130 / 1

LCM(58,985) = 57130


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 7205/58, 3045/985

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 7205/58, 3045/985?

Answer: GCF of Numerators as per given numbers 7205/58, 3045/985 is

GCF of Numerators i.e. for 7205,3045 is 5

LCM of denominators i.e. for 58,985 is 57130.

Thus, GCF of Fractions is 5/57130.Finally, GCF of Fractions for 7205/58, 3045/985 is 5/57130.