Greatest Common Factor of 820/502, 882/319, 206/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/502, 882/319, 206/752

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 820/502,882/319,206/752

Given fractions are 820/502,882/319,206/752

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 820,882,206

Greatest Common Factor of Numerators i.e. GCF of 820,882,206 is 2 .

LCM of Denominators means LCM of 502,319,752 as per the given fractions.

LCM of 502,319,752 is 60211888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,882,206

GCF of Fractions 820/502,882/319,206/752 is 2/60211888

2 820, 882, 206
410, 441, 103

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

Greatest Common Factor of 820,882,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,882,206 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 820,882,206 . The biggest common factor number is the GCF number.
So the greatest common factor 820,882,206 is 2.

Lets's calculate LCM of 502,319,752

2 502, 319, 752
251, 319, 376

∴ So the LCM of the given numbers is 2 x 251 x 319 x 376 = 60211888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60211888

Therefore, the GCF of Fractions 820/502,882/319,206/752 is 2/60211888

Least Common Multiple of 502,319,752 with GCF Formula

Least Common Multiple of 502,319,752 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 502,319,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,319,752) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(502,319,752) x common factors =1 x 2 = 2

LCM(502,319,752) = ( 502 × 319 × 752 ) / 2

LCM(502,319,752) = 120423776 / 2

LCM(502,319,752) = 60211888


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 820/502, 882/319, 206/752

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 820/502, 882/319, 206/752?

Answer: GCF of Numerators as per given numbers 820/502, 882/319, 206/752 is

GCF of Numerators i.e. for 820,882,206 is 2

LCM of denominators i.e. for 502,319,752 is 60211888.

Thus, GCF of Fractions is 2/60211888.Finally, GCF of Fractions for 820/502, 882/319, 206/752 is 2/60211888.