Greatest Common Factor of 407/40, 605/20, 770/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/40, 605/20, 770/411

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 407/40,605/20,770/411

Given fractions are 407/40,605/20,770/411

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 407,605,770

Greatest Common Factor of Numerators i.e. GCF of 407,605,770 is 11 .

LCM of Denominators means LCM of 40,20,411 as per the given fractions.

LCM of 40,20,411 is 16440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,605,770

GCF of Fractions 407/40,605/20,770/411 is 11/16440

11 407, 605, 770
37, 55, 70

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 407,605,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,605,770 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 407,605,770 . The biggest common factor number is the GCF number.
So the greatest common factor 407,605,770 is 11.

Lets's calculate LCM of 40,20,411

2 40, 20, 411
2 20, 10, 411
5 5, 10, 411
1, 2, 411

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 2 x 411 = 16440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/16440

Therefore, the GCF of Fractions 407/40,605/20,770/411 is 11/16440

Least Common Multiple of 40,20,411 with GCF Formula

Least Common Multiple of 40,20,411 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 40,20,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,20,411) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(40,20,411) x common factors =1 x 20 = 20

LCM(40,20,411) = ( 40 × 20 × 411 ) / 20

LCM(40,20,411) = 328800 / 20

LCM(40,20,411) = 16440


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 407/40, 605/20, 770/411

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 407/40, 605/20, 770/411?

Answer: GCF of Numerators as per given numbers 407/40, 605/20, 770/411 is

GCF of Numerators i.e. for 407,605,770 is 11

LCM of denominators i.e. for 40,20,411 is 16440.

Thus, GCF of Fractions is 11/16440.Finally, GCF of Fractions for 407/40, 605/20, 770/411 is 11/16440.