Greatest Common Factor of 400/241, 1385/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/241, 1385/407

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 400/241,1385/407

Given fractions are 400/241,1385/407

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 400,1385

Greatest Common Factor of Numerators i.e. GCF of 400,1385 is 5 .

LCM of Denominators means LCM of 241,407 as per the given fractions.

LCM of 241,407 is 98087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,1385

GCF of Fractions 400/241,1385/407 is 5/98087

5 400, 1385
80, 277

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

Greatest Common Factor of 400,1385 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,1385 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 1385

List of positive integer factors of 1385 that divides 1385 without a remainder.

1,5,277,1385

Greatest Common Factor

We found the factors 400,1385 . The biggest common factor number is the GCF number.
So the greatest common factor 400,1385 is 5.

Lets's calculate LCM of 241,407

Given numbers has no common factors except 1. So, there LCM is their product i.e 98087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/98087

Therefore, the GCF of Fractions 400/241,1385/407 is 5/98087

Least Common Multiple of 241,407 with GCF Formula

Least Common Multiple of 241,407 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 241,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,407) = 1

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

GCF(241,407) x common factors =1 x 1 = 1

LCM(241,407) = ( 241 × 407 ) / 1

LCM(241,407) = 98087 / 1

LCM(241,407) = 98087


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 400/241, 1385/407

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 400/241, 1385/407?

Answer: GCF of Numerators as per given numbers 400/241, 1385/407 is

GCF of Numerators i.e. for 400,1385 is 5

LCM of denominators i.e. for 241,407 is 98087.

Thus, GCF of Fractions is 5/98087.Finally, GCF of Fractions for 400/241, 1385/407 is 5/98087.