Greatest Common Factor of 145/81, 380/7345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/81, 380/7345

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 145/81,380/7345

Given fractions are 145/81,380/7345

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 145,380

Greatest Common Factor of Numerators i.e. GCF of 145,380 is 5 .

LCM of Denominators means LCM of 81,7345 as per the given fractions.

LCM of 81,7345 is 594945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,380

GCF of Fractions 145/81,380/7345 is 5/594945

5 145, 380
29, 76

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

Greatest Common Factor of 145,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,380 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 145,380 . The biggest common factor number is the GCF number.
So the greatest common factor 145,380 is 5.

Lets's calculate LCM of 81,7345

Given numbers has no common factors except 1. So, there LCM is their product i.e 594945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/594945

Therefore, the GCF of Fractions 145/81,380/7345 is 5/594945

Least Common Multiple of 81,7345 with GCF Formula

Least Common Multiple of 81,7345 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 81,7345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,7345) = 1

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

GCF(81,7345) x common factors =1 x 1 = 1

LCM(81,7345) = ( 81 × 7345 ) / 1

LCM(81,7345) = 594945 / 1

LCM(81,7345) = 594945


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 145/81, 380/7345

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 145/81, 380/7345?

Answer: GCF of Numerators as per given numbers 145/81, 380/7345 is

GCF of Numerators i.e. for 145,380 is 5

LCM of denominators i.e. for 81,7345 is 594945.

Thus, GCF of Fractions is 5/594945.Finally, GCF of Fractions for 145/81, 380/7345 is 5/594945.