Greatest Common Factor of 9050/992, 8964/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9050/992, 8964/653

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 9050/992,8964/653

Given fractions are 9050/992,8964/653

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 9050,8964

Greatest Common Factor of Numerators i.e. GCF of 9050,8964 is 2 .

LCM of Denominators means LCM of 992,653 as per the given fractions.

LCM of 992,653 is 647776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9050,8964

GCF of Fractions 9050/992,8964/653 is 2/647776

2 9050, 8964
4525, 4482

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9050,8964 By Matching Biggest Common Factor Method

Greatest Common Factor of 9050,8964 By Matching Biggest Common Factor Method

Factors of 9050

List of positive integer factors of 9050 that divides 9050 without a remainder.

1,2,5,10,25,50,181,362,905,1810,4525,9050

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Greatest Common Factor

We found the factors 9050,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 9050,8964 is 2.

Lets's calculate LCM of 992,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 647776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/647776

Therefore, the GCF of Fractions 9050/992,8964/653 is 2/647776

Least Common Multiple of 992,653 with GCF Formula

Least Common Multiple of 992,653 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 992,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,653) = 1

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

GCF(992,653) x common factors =1 x 1 = 1

LCM(992,653) = ( 992 × 653 ) / 1

LCM(992,653) = 647776 / 1

LCM(992,653) = 647776


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 9050/992, 8964/653

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 9050/992, 8964/653?

Answer: GCF of Numerators as per given numbers 9050/992, 8964/653 is

GCF of Numerators i.e. for 9050,8964 is 2

LCM of denominators i.e. for 992,653 is 647776.

Thus, GCF of Fractions is 2/647776.Finally, GCF of Fractions for 9050/992, 8964/653 is 2/647776.