Greatest Common Factor of 8992/74, 4381/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8992/74, 4381/575

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 8992/74,4381/575

Given fractions are 8992/74,4381/575

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 8992,4381

Greatest Common Factor of Numerators i.e. GCF of 8992,4381 is 1 .

LCM of Denominators means LCM of 74,575 as per the given fractions.

LCM of 74,575 is 42550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8992,4381

GCF of Fractions 8992/74,4381/575 is 1/42550

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

Greatest Common Factor of 8992,4381 By Matching Biggest Common Factor Method

Greatest Common Factor of 8992,4381 By Matching Biggest Common Factor Method

Factors of 8992

List of positive integer factors of 8992 that divides 8992 without a remainder.

1,2,4,8,16,32,281,562,1124,2248,4496,8992

Factors of 4381

List of positive integer factors of 4381 that divides 4381 without a remainder.

1,13,337,4381

Greatest Common Factor

We found the factors 8992,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 8992,4381 is 1.

Lets's calculate LCM of 74,575

Given numbers has no common factors except 1. So, there LCM is their product i.e 42550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42550

Therefore, the GCF of Fractions 8992/74,4381/575 is 1/42550

Least Common Multiple of 74,575 with GCF Formula

Least Common Multiple of 74,575 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 74,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,575) = 1

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

GCF(74,575) x common factors =1 x 1 = 1

LCM(74,575) = ( 74 × 575 ) / 1

LCM(74,575) = 42550 / 1

LCM(74,575) = 42550


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 8992/74, 4381/575

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 8992/74, 4381/575?

Answer: GCF of Numerators as per given numbers 8992/74, 4381/575 is

GCF of Numerators i.e. for 8992,4381 is 1

LCM of denominators i.e. for 74,575 is 42550.

Thus, GCF of Fractions is 1/42550.Finally, GCF of Fractions for 8992/74, 4381/575 is 1/42550.