Greatest Common Factor of 989/32, 430/9998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 989/32, 430/9998

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 989/32,430/9998

Given fractions are 989/32,430/9998

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 989,430

Greatest Common Factor of Numerators i.e. GCF of 989,430 is 43 .

LCM of Denominators means LCM of 32,9998 as per the given fractions.

LCM of 32,9998 is 159968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 989,430

GCF of Fractions 989/32,430/9998 is 43/159968

43 989, 430
23, 10

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 989,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,430 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 989,430 . The biggest common factor number is the GCF number.
So the greatest common factor 989,430 is 43.

Lets's calculate LCM of 32,9998

2 32, 9998
16, 4999

∴ So the LCM of the given numbers is 2 x 16 x 4999 = 159968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/159968

Therefore, the GCF of Fractions 989/32,430/9998 is 43/159968

Least Common Multiple of 32,9998 with GCF Formula

Least Common Multiple of 32,9998 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 32,9998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,9998) = 2

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

GCF(32,9998) x common factors =2 x 1 = 2

LCM(32,9998) = ( 32 × 9998 ) / 2

LCM(32,9998) = 319936 / 2

LCM(32,9998) = 159968


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 989/32, 430/9998

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 989/32, 430/9998?

Answer: GCF of Numerators as per given numbers 989/32, 430/9998 is

GCF of Numerators i.e. for 989,430 is 43

LCM of denominators i.e. for 32,9998 is 159968.

Thus, GCF of Fractions is 43/159968.Finally, GCF of Fractions for 989/32, 430/9998 is 43/159968.