Greatest Common Factor of 9927/784, 8649/8053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9927/784, 8649/8053

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 9927/784,8649/8053

Given fractions are 9927/784,8649/8053

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 9927,8649

Greatest Common Factor of Numerators i.e. GCF of 9927,8649 is 9 .

LCM of Denominators means LCM of 784,8053 as per the given fractions.

LCM of 784,8053 is 6313552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9927,8649

GCF of Fractions 9927/784,8649/8053 is 9/6313552

3 9927, 8649
3 3309, 2883
1103, 961

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9927,8649 By Matching Biggest Common Factor Method

Greatest Common Factor of 9927,8649 By Matching Biggest Common Factor Method

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1,3,9,1103,3309,9927

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1,3,9,31,93,279,961,2883,8649

Greatest Common Factor

We found the factors 9927,8649 . The biggest common factor number is the GCF number.
So the greatest common factor 9927,8649 is 9.

Lets's calculate LCM of 784,8053

Given numbers has no common factors except 1. So, there LCM is their product i.e 6313552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6313552

Therefore, the GCF of Fractions 9927/784,8649/8053 is 9/6313552

Least Common Multiple of 784,8053 with GCF Formula

Least Common Multiple of 784,8053 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 784,8053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,8053) = 1

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

GCF(784,8053) x common factors =1 x 1 = 1

LCM(784,8053) = ( 784 × 8053 ) / 1

LCM(784,8053) = 6313552 / 1

LCM(784,8053) = 6313552


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 9927/784, 8649/8053

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 9927/784, 8649/8053?

Answer: GCF of Numerators as per given numbers 9927/784, 8649/8053 is

GCF of Numerators i.e. for 9927,8649 is 9

LCM of denominators i.e. for 784,8053 is 6313552.

Thus, GCF of Fractions is 9/6313552.Finally, GCF of Fractions for 9927/784, 8649/8053 is 9/6313552.