Greatest Common Factor of 397/40, 640/71, 364/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/40, 640/71, 364/467

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 397/40,640/71,364/467

Given fractions are 397/40,640/71,364/467

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 397,640,364

Greatest Common Factor of Numerators i.e. GCF of 397,640,364 is 1 .

LCM of Denominators means LCM of 40,71,467 as per the given fractions.

LCM of 40,71,467 is 1326280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,640,364

GCF of Fractions 397/40,640/71,364/467 is 1/1326280

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

Greatest Common Factor of 397,640,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,640,364 By Matching Biggest Common Factor Method

Factors of 397

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

1,397

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 397,640,364 . The biggest common factor number is the GCF number.
So the greatest common factor 397,640,364 is 1.

Lets's calculate LCM of 40,71,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 1326280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1326280

Therefore, the GCF of Fractions 397/40,640/71,364/467 is 1/1326280

Least Common Multiple of 40,71,467 with GCF Formula

Least Common Multiple of 40,71,467 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 40,71,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,71,467) = 1

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

GCF(40,71,467) x common factors =1 x 1 = 1

LCM(40,71,467) = ( 40 × 71 × 467 ) / 1

LCM(40,71,467) = 1326280 / 1

LCM(40,71,467) = 1326280


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 397/40, 640/71, 364/467

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 397/40, 640/71, 364/467?

Answer: GCF of Numerators as per given numbers 397/40, 640/71, 364/467 is

GCF of Numerators i.e. for 397,640,364 is 1

LCM of denominators i.e. for 40,71,467 is 1326280.

Thus, GCF of Fractions is 1/1326280.Finally, GCF of Fractions for 397/40, 640/71, 364/467 is 1/1326280.