Greatest Common Factor of 163/84, 489/1300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 163/84, 489/1300

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 163/84,489/1300

Given fractions are 163/84,489/1300

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 163,489

Greatest Common Factor of Numerators i.e. GCF of 163,489 is 163 .

LCM of Denominators means LCM of 84,1300 as per the given fractions.

LCM of 84,1300 is 27300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 163,489

GCF of Fractions 163/84,489/1300 is 163/27300

163 163, 489
1, 3

∴ So the GCF of the given numbers is 163 = 163

Greatest Common Factor of 163,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,489 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 163,489 . The biggest common factor number is the GCF number.
So the greatest common factor 163,489 is 163.

Lets's calculate LCM of 84,1300

2 84, 1300
2 42, 650
21, 325

∴ So the LCM of the given numbers is 2 x 2 x 21 x 325 = 27300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/27300

Therefore, the GCF of Fractions 163/84,489/1300 is 163/27300

Least Common Multiple of 84,1300 with GCF Formula

Least Common Multiple of 84,1300 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 84,1300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,1300) = 4

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

GCF(84,1300) x common factors =4 x 1 = 4

LCM(84,1300) = ( 84 × 1300 ) / 4

LCM(84,1300) = 109200 / 4

LCM(84,1300) = 27300


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 163/84, 489/1300

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 163/84, 489/1300?

Answer: GCF of Numerators as per given numbers 163/84, 489/1300 is

GCF of Numerators i.e. for 163,489 is 163

LCM of denominators i.e. for 84,1300 is 27300.

Thus, GCF of Fractions is 163/27300.Finally, GCF of Fractions for 163/84, 489/1300 is 163/27300.