Greatest Common Factor of 407/76, 435/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/76, 435/306

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 407/76,435/306

Given fractions are 407/76,435/306

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 407,435

Greatest Common Factor of Numerators i.e. GCF of 407,435 is 1 .

LCM of Denominators means LCM of 76,306 as per the given fractions.

LCM of 76,306 is 11628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,435

GCF of Fractions 407/76,435/306 is 1/11628

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

Greatest Common Factor of 407,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,435 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 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 407,435 . The biggest common factor number is the GCF number.
So the greatest common factor 407,435 is 1.

Lets's calculate LCM of 76,306

2 76, 306
38, 153

∴ So the LCM of the given numbers is 2 x 38 x 153 = 11628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11628

Therefore, the GCF of Fractions 407/76,435/306 is 1/11628

Least Common Multiple of 76,306 with GCF Formula

Least Common Multiple of 76,306 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 76,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,306) = 2

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

GCF(76,306) x common factors =2 x 1 = 2

LCM(76,306) = ( 76 × 306 ) / 2

LCM(76,306) = 23256 / 2

LCM(76,306) = 11628


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 407/76, 435/306

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 407/76, 435/306?

Answer: GCF of Numerators as per given numbers 407/76, 435/306 is

GCF of Numerators i.e. for 407,435 is 1

LCM of denominators i.e. for 76,306 is 11628.

Thus, GCF of Fractions is 1/11628.Finally, GCF of Fractions for 407/76, 435/306 is 1/11628.