Greatest Common Factor of 400/310, 397/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/310, 397/419

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 400/310,397/419

Given fractions are 400/310,397/419

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 400,397

Greatest Common Factor of Numerators i.e. GCF of 400,397 is 1 .

LCM of Denominators means LCM of 310,419 as per the given fractions.

LCM of 310,419 is 129890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,397

GCF of Fractions 400/310,397/419 is 1/129890

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

Greatest Common Factor of 400,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,397 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 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 400,397 . The biggest common factor number is the GCF number.
So the greatest common factor 400,397 is 1.

Lets's calculate LCM of 310,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 129890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129890

Therefore, the GCF of Fractions 400/310,397/419 is 1/129890

Least Common Multiple of 310,419 with GCF Formula

Least Common Multiple of 310,419 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 310,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,419) = 1

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

GCF(310,419) x common factors =1 x 1 = 1

LCM(310,419) = ( 310 × 419 ) / 1

LCM(310,419) = 129890 / 1

LCM(310,419) = 129890


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 400/310, 397/419

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 400/310, 397/419?

Answer: GCF of Numerators as per given numbers 400/310, 397/419 is

GCF of Numerators i.e. for 400,397 is 1

LCM of denominators i.e. for 310,419 is 129890.

Thus, GCF of Fractions is 1/129890.Finally, GCF of Fractions for 400/310, 397/419 is 1/129890.