Greatest Common Factor of 395/29, 241/6070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 395/29, 241/6070

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 395/29,241/6070

Given fractions are 395/29,241/6070

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 395,241

Greatest Common Factor of Numerators i.e. GCF of 395,241 is 1 .

LCM of Denominators means LCM of 29,6070 as per the given fractions.

LCM of 29,6070 is 176030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 395,241

GCF of Fractions 395/29,241/6070 is 1/176030

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 395,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,241 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 395,241 . The biggest common factor number is the GCF number.
So the greatest common factor 395,241 is 1.

Lets's calculate LCM of 29,6070

Given numbers has no common factors except 1. So, there LCM is their product i.e 176030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176030

Therefore, the GCF of Fractions 395/29,241/6070 is 1/176030

Least Common Multiple of 29,6070 with GCF Formula

Least Common Multiple of 29,6070 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 29,6070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,6070) = 1

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

GCF(29,6070) x common factors =1 x 1 = 1

LCM(29,6070) = ( 29 × 6070 ) / 1

LCM(29,6070) = 176030 / 1

LCM(29,6070) = 176030


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 395/29, 241/6070

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 395/29, 241/6070?

Answer: GCF of Numerators as per given numbers 395/29, 241/6070 is

GCF of Numerators i.e. for 395,241 is 1

LCM of denominators i.e. for 29,6070 is 176030.

Thus, GCF of Fractions is 1/176030.Finally, GCF of Fractions for 395/29, 241/6070 is 1/176030.