Greatest Common Factor of 8574/99, 8665/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8574/99, 8665/764

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 8574/99,8665/764

Given fractions are 8574/99,8665/764

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 8574,8665

Greatest Common Factor of Numerators i.e. GCF of 8574,8665 is 1 .

LCM of Denominators means LCM of 99,764 as per the given fractions.

LCM of 99,764 is 75636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8574,8665

GCF of Fractions 8574/99,8665/764 is 1/75636

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

Greatest Common Factor of 8574,8665 By Matching Biggest Common Factor Method

Greatest Common Factor of 8574,8665 By Matching Biggest Common Factor Method

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1,2,3,6,1429,2858,4287,8574

Factors of 8665

List of positive integer factors of 8665 that divides 8665 without a remainder.

1,5,1733,8665

Greatest Common Factor

We found the factors 8574,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 8574,8665 is 1.

Lets's calculate LCM of 99,764

Given numbers has no common factors except 1. So, there LCM is their product i.e 75636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75636

Therefore, the GCF of Fractions 8574/99,8665/764 is 1/75636

Least Common Multiple of 99,764 with GCF Formula

Least Common Multiple of 99,764 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 99,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,764) = 1

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

GCF(99,764) x common factors =1 x 1 = 1

LCM(99,764) = ( 99 × 764 ) / 1

LCM(99,764) = 75636 / 1

LCM(99,764) = 75636


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 8574/99, 8665/764

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 8574/99, 8665/764?

Answer: GCF of Numerators as per given numbers 8574/99, 8665/764 is

GCF of Numerators i.e. for 8574,8665 is 1

LCM of denominators i.e. for 99,764 is 75636.

Thus, GCF of Fractions is 1/75636.Finally, GCF of Fractions for 8574/99, 8665/764 is 1/75636.