Greatest Common Factor of 392/15, 435/7376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/15, 435/7376

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 392/15,435/7376

Given fractions are 392/15,435/7376

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 392,435

Greatest Common Factor of Numerators i.e. GCF of 392,435 is 1 .

LCM of Denominators means LCM of 15,7376 as per the given fractions.

LCM of 15,7376 is 110640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,435

GCF of Fractions 392/15,435/7376 is 1/110640

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

Greatest Common Factor of 392,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,435 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

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 392,435 . The biggest common factor number is the GCF number.
So the greatest common factor 392,435 is 1.

Lets's calculate LCM of 15,7376

Given numbers has no common factors except 1. So, there LCM is their product i.e 110640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110640

Therefore, the GCF of Fractions 392/15,435/7376 is 1/110640

Least Common Multiple of 15,7376 with GCF Formula

Least Common Multiple of 15,7376 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 15,7376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,7376) = 1

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

GCF(15,7376) x common factors =1 x 1 = 1

LCM(15,7376) = ( 15 × 7376 ) / 1

LCM(15,7376) = 110640 / 1

LCM(15,7376) = 110640


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 392/15, 435/7376

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 392/15, 435/7376?

Answer: GCF of Numerators as per given numbers 392/15, 435/7376 is

GCF of Numerators i.e. for 392,435 is 1

LCM of denominators i.e. for 15,7376 is 110640.

Thus, GCF of Fractions is 1/110640.Finally, GCF of Fractions for 392/15, 435/7376 is 1/110640.