Greatest Common Factor of 9552/820, 6592/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9552/820, 6592/469

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 9552/820,6592/469

Given fractions are 9552/820,6592/469

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 9552,6592

Greatest Common Factor of Numerators i.e. GCF of 9552,6592 is 16 .

LCM of Denominators means LCM of 820,469 as per the given fractions.

LCM of 820,469 is 384580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9552,6592

GCF of Fractions 9552/820,6592/469 is 16/384580

2 9552, 6592
2 4776, 3296
2 2388, 1648
2 1194, 824
597, 412

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9552,6592 By Matching Biggest Common Factor Method

Greatest Common Factor of 9552,6592 By Matching Biggest Common Factor Method

Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552

Factors of 6592

List of positive integer factors of 6592 that divides 6592 without a remainder.

1,2,4,8,16,32,64,103,206,412,824,1648,3296,6592

Greatest Common Factor

We found the factors 9552,6592 . The biggest common factor number is the GCF number.
So the greatest common factor 9552,6592 is 16.

Lets's calculate LCM of 820,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 384580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/384580

Therefore, the GCF of Fractions 9552/820,6592/469 is 16/384580

Least Common Multiple of 820,469 with GCF Formula

Least Common Multiple of 820,469 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 820,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,469) = 1

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

GCF(820,469) x common factors =1 x 1 = 1

LCM(820,469) = ( 820 × 469 ) / 1

LCM(820,469) = 384580 / 1

LCM(820,469) = 384580


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 9552/820, 6592/469

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 9552/820, 6592/469?

Answer: GCF of Numerators as per given numbers 9552/820, 6592/469 is

GCF of Numerators i.e. for 9552,6592 is 16

LCM of denominators i.e. for 820,469 is 384580.

Thus, GCF of Fractions is 16/384580.Finally, GCF of Fractions for 9552/820, 6592/469 is 16/384580.