Greatest Common Factor of 1530/86, 9956/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1530/86, 9956/384

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 1530/86,9956/384

Given fractions are 1530/86,9956/384

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 1530,9956

Greatest Common Factor of Numerators i.e. GCF of 1530,9956 is 2 .

LCM of Denominators means LCM of 86,384 as per the given fractions.

LCM of 86,384 is 16512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1530,9956

GCF of Fractions 1530/86,9956/384 is 2/16512

2 1530, 9956
765, 4978

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

Greatest Common Factor of 1530,9956 By Matching Biggest Common Factor Method

Greatest Common Factor of 1530,9956 By Matching Biggest Common Factor Method

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1,2,4,19,38,76,131,262,524,2489,4978,9956

Greatest Common Factor

We found the factors 1530,9956 . The biggest common factor number is the GCF number.
So the greatest common factor 1530,9956 is 2.

Lets's calculate LCM of 86,384

2 86, 384
43, 192

∴ So the LCM of the given numbers is 2 x 43 x 192 = 16512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16512

Therefore, the GCF of Fractions 1530/86,9956/384 is 2/16512

Least Common Multiple of 86,384 with GCF Formula

Least Common Multiple of 86,384 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 86,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,384) = 2

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

GCF(86,384) x common factors =2 x 1 = 2

LCM(86,384) = ( 86 × 384 ) / 2

LCM(86,384) = 33024 / 2

LCM(86,384) = 16512


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 1530/86, 9956/384

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 1530/86, 9956/384?

Answer: GCF of Numerators as per given numbers 1530/86, 9956/384 is

GCF of Numerators i.e. for 1530,9956 is 2

LCM of denominators i.e. for 86,384 is 16512.

Thus, GCF of Fractions is 2/16512.Finally, GCF of Fractions for 1530/86, 9956/384 is 2/16512.