Greatest Common Factor of 6384/17, 9828/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6384/17, 9828/710

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 6384/17,9828/710

Given fractions are 6384/17,9828/710

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 6384,9828

Greatest Common Factor of Numerators i.e. GCF of 6384,9828 is 84 .

LCM of Denominators means LCM of 17,710 as per the given fractions.

LCM of 17,710 is 12070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6384,9828

GCF of Fractions 6384/17,9828/710 is 84/12070

2 6384, 9828
2 3192, 4914
3 1596, 2457
7 532, 819
76, 117

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Greatest Common Factor of 6384,9828 By Matching Biggest Common Factor Method

Greatest Common Factor of 6384,9828 By Matching Biggest Common Factor Method

Factors of 6384

List of positive integer factors of 6384 that divides 6384 without a remainder.

1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Greatest Common Factor

We found the factors 6384,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 6384,9828 is 84.

Lets's calculate LCM of 17,710

Given numbers has no common factors except 1. So, there LCM is their product i.e 12070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/12070

Therefore, the GCF of Fractions 6384/17,9828/710 is 84/12070

Least Common Multiple of 17,710 with GCF Formula

Least Common Multiple of 17,710 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 17,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,710) = 1

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

GCF(17,710) x common factors =1 x 1 = 1

LCM(17,710) = ( 17 × 710 ) / 1

LCM(17,710) = 12070 / 1

LCM(17,710) = 12070


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 6384/17, 9828/710

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 6384/17, 9828/710?

Answer: GCF of Numerators as per given numbers 6384/17, 9828/710 is

GCF of Numerators i.e. for 6384,9828 is 84

LCM of denominators i.e. for 17,710 is 12070.

Thus, GCF of Fractions is 84/12070.Finally, GCF of Fractions for 6384/17, 9828/710 is 84/12070.