Greatest Common Factor of 407/692, 399/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/692, 399/820

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 407/692,399/820

Given fractions are 407/692,399/820

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 407,399

Greatest Common Factor of Numerators i.e. GCF of 407,399 is 1 .

LCM of Denominators means LCM of 692,820 as per the given fractions.

LCM of 692,820 is 141860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,399

GCF of Fractions 407/692,399/820 is 1/141860

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

Greatest Common Factor of 407,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,399 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 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 407,399 . The biggest common factor number is the GCF number.
So the greatest common factor 407,399 is 1.

Lets's calculate LCM of 692,820

2 692, 820
2 346, 410
173, 205

∴ So the LCM of the given numbers is 2 x 2 x 173 x 205 = 141860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141860

Therefore, the GCF of Fractions 407/692,399/820 is 1/141860

Least Common Multiple of 692,820 with GCF Formula

Least Common Multiple of 692,820 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 692,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,820) = 4

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

GCF(692,820) x common factors =4 x 1 = 4

LCM(692,820) = ( 692 × 820 ) / 4

LCM(692,820) = 567440 / 4

LCM(692,820) = 141860


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 407/692, 399/820

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 407/692, 399/820?

Answer: GCF of Numerators as per given numbers 407/692, 399/820 is

GCF of Numerators i.e. for 407,399 is 1

LCM of denominators i.e. for 692,820 is 141860.

Thus, GCF of Fractions is 1/141860.Finally, GCF of Fractions for 407/692, 399/820 is 1/141860.