Greatest Common Factor of 8212/19, 9520/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8212/19, 9520/297

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 8212/19,9520/297

Given fractions are 8212/19,9520/297

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 8212,9520

Greatest Common Factor of Numerators i.e. GCF of 8212,9520 is 4 .

LCM of Denominators means LCM of 19,297 as per the given fractions.

LCM of 19,297 is 5643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8212,9520

GCF of Fractions 8212/19,9520/297 is 4/5643

2 8212, 9520
2 4106, 4760
2053, 2380

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8212,9520 By Matching Biggest Common Factor Method

Greatest Common Factor of 8212,9520 By Matching Biggest Common Factor Method

Factors of 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1,2,4,2053,4106,8212

Factors of 9520

List of positive integer factors of 9520 that divides 9520 without a remainder.

1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520

Greatest Common Factor

We found the factors 8212,9520 . The biggest common factor number is the GCF number.
So the greatest common factor 8212,9520 is 4.

Lets's calculate LCM of 19,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 5643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5643

Therefore, the GCF of Fractions 8212/19,9520/297 is 4/5643

Least Common Multiple of 19,297 with GCF Formula

Least Common Multiple of 19,297 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 19,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,297) = 1

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

GCF(19,297) x common factors =1 x 1 = 1

LCM(19,297) = ( 19 × 297 ) / 1

LCM(19,297) = 5643 / 1

LCM(19,297) = 5643


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 8212/19, 9520/297

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 8212/19, 9520/297?

Answer: GCF of Numerators as per given numbers 8212/19, 9520/297 is

GCF of Numerators i.e. for 8212,9520 is 4

LCM of denominators i.e. for 19,297 is 5643.

Thus, GCF of Fractions is 4/5643.Finally, GCF of Fractions for 8212/19, 9520/297 is 4/5643.