Greatest Common Factor of 8499/921, 9984/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8499/921, 9984/767

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 8499/921,9984/767

Given fractions are 8499/921,9984/767

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 8499,9984

Greatest Common Factor of Numerators i.e. GCF of 8499,9984 is 3 .

LCM of Denominators means LCM of 921,767 as per the given fractions.

LCM of 921,767 is 706407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8499,9984

GCF of Fractions 8499/921,9984/767 is 3/706407

3 8499, 9984
2833, 3328

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

Greatest Common Factor of 8499,9984 By Matching Biggest Common Factor Method

Greatest Common Factor of 8499,9984 By Matching Biggest Common Factor Method

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1,3,2833,8499

Factors of 9984

List of positive integer factors of 9984 that divides 9984 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984

Greatest Common Factor

We found the factors 8499,9984 . The biggest common factor number is the GCF number.
So the greatest common factor 8499,9984 is 3.

Lets's calculate LCM of 921,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 706407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/706407

Therefore, the GCF of Fractions 8499/921,9984/767 is 3/706407

Least Common Multiple of 921,767 with GCF Formula

Least Common Multiple of 921,767 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 921,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,767) = 1

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

GCF(921,767) x common factors =1 x 1 = 1

LCM(921,767) = ( 921 × 767 ) / 1

LCM(921,767) = 706407 / 1

LCM(921,767) = 706407


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 8499/921, 9984/767

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 8499/921, 9984/767?

Answer: GCF of Numerators as per given numbers 8499/921, 9984/767 is

GCF of Numerators i.e. for 8499,9984 is 3

LCM of denominators i.e. for 921,767 is 706407.

Thus, GCF of Fractions is 3/706407.Finally, GCF of Fractions for 8499/921, 9984/767 is 3/706407.