Greatest Common Factor of 833/72, 608/16, 301/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/72, 608/16, 301/210

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 833/72,608/16,301/210

Given fractions are 833/72,608/16,301/210

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 833,608,301

Greatest Common Factor of Numerators i.e. GCF of 833,608,301 is 1 .

LCM of Denominators means LCM of 72,16,210 as per the given fractions.

LCM of 72,16,210 is 5040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,608,301

GCF of Fractions 833/72,608/16,301/210 is 1/5040

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 833,608,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,608,301 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 833,608,301 . The biggest common factor number is the GCF number.
So the greatest common factor 833,608,301 is 1.

Lets's calculate LCM of 72,16,210

2 72, 16, 210
2 36, 8, 105
2 18, 4, 105
3 9, 2, 105
3, 2, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 35 = 5040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040

Therefore, the GCF of Fractions 833/72,608/16,301/210 is 1/5040

Least Common Multiple of 72,16,210 with GCF Formula

Least Common Multiple of 72,16,210 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 72,16,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,16,210) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(72,16,210) x common factors =2 x 24 = 48

LCM(72,16,210) = ( 72 × 16 × 210 ) / 48

LCM(72,16,210) = 241920 / 48

LCM(72,16,210) = 5040


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 833/72, 608/16, 301/210

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 833/72, 608/16, 301/210?

Answer: GCF of Numerators as per given numbers 833/72, 608/16, 301/210 is

GCF of Numerators i.e. for 833,608,301 is 1

LCM of denominators i.e. for 72,16,210 is 5040.

Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 833/72, 608/16, 301/210 is 1/5040.