Greatest Common Factor of 730/16, 424/7580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 730/16, 424/7580

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 730/16,424/7580

Given fractions are 730/16,424/7580

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 730,424

Greatest Common Factor of Numerators i.e. GCF of 730,424 is 2 .

LCM of Denominators means LCM of 16,7580 as per the given fractions.

LCM of 16,7580 is 30320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 730,424

GCF of Fractions 730/16,424/7580 is 2/30320

2 730, 424
365, 212

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

Greatest Common Factor of 730,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,424 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 730,424 . The biggest common factor number is the GCF number.
So the greatest common factor 730,424 is 2.

Lets's calculate LCM of 16,7580

2 16, 7580
2 8, 3790
4, 1895

∴ So the LCM of the given numbers is 2 x 2 x 4 x 1895 = 30320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30320

Therefore, the GCF of Fractions 730/16,424/7580 is 2/30320

Least Common Multiple of 16,7580 with GCF Formula

Least Common Multiple of 16,7580 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 16,7580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,7580) = 4

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

GCF(16,7580) x common factors =4 x 1 = 4

LCM(16,7580) = ( 16 × 7580 ) / 4

LCM(16,7580) = 121280 / 4

LCM(16,7580) = 30320


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 730/16, 424/7580

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 730/16, 424/7580?

Answer: GCF of Numerators as per given numbers 730/16, 424/7580 is

GCF of Numerators i.e. for 730,424 is 2

LCM of denominators i.e. for 16,7580 is 30320.

Thus, GCF of Fractions is 2/30320.Finally, GCF of Fractions for 730/16, 424/7580 is 2/30320.