Greatest Common Factor of 1030/900, 9905/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1030/900, 9905/992

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 1030/900,9905/992

Given fractions are 1030/900,9905/992

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 1030,9905

Greatest Common Factor of Numerators i.e. GCF of 1030,9905 is 5 .

LCM of Denominators means LCM of 900,992 as per the given fractions.

LCM of 900,992 is 223200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1030,9905

GCF of Fractions 1030/900,9905/992 is 5/223200

5 1030, 9905
206, 1981

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1030,9905 By Matching Biggest Common Factor Method

Greatest Common Factor of 1030,9905 By Matching Biggest Common Factor Method

Factors of 1030

List of positive integer factors of 1030 that divides 1030 without a remainder.

1,2,5,10,103,206,515,1030

Factors of 9905

List of positive integer factors of 9905 that divides 9905 without a remainder.

1,5,7,35,283,1415,1981,9905

Greatest Common Factor

We found the factors 1030,9905 . The biggest common factor number is the GCF number.
So the greatest common factor 1030,9905 is 5.

Lets's calculate LCM of 900,992

2 900, 992
2 450, 496
225, 248

∴ So the LCM of the given numbers is 2 x 2 x 225 x 248 = 223200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/223200

Therefore, the GCF of Fractions 1030/900,9905/992 is 5/223200

Least Common Multiple of 900,992 with GCF Formula

Least Common Multiple of 900,992 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 900,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,992) = 4

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

GCF(900,992) x common factors =4 x 1 = 4

LCM(900,992) = ( 900 × 992 ) / 4

LCM(900,992) = 892800 / 4

LCM(900,992) = 223200


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 1030/900, 9905/992

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 1030/900, 9905/992?

Answer: GCF of Numerators as per given numbers 1030/900, 9905/992 is

GCF of Numerators i.e. for 1030,9905 is 5

LCM of denominators i.e. for 900,992 is 223200.

Thus, GCF of Fractions is 5/223200.Finally, GCF of Fractions for 1030/900, 9905/992 is 5/223200.