Greatest Common Factor of 6828/529, 9588/1998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6828/529, 9588/1998

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 6828/529,9588/1998

Given fractions are 6828/529,9588/1998

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 6828,9588

Greatest Common Factor of Numerators i.e. GCF of 6828,9588 is 12 .

LCM of Denominators means LCM of 529,1998 as per the given fractions.

LCM of 529,1998 is 1056942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6828,9588

GCF of Fractions 6828/529,9588/1998 is 12/1056942

2 6828, 9588
2 3414, 4794
3 1707, 2397
569, 799

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6828,9588 By Matching Biggest Common Factor Method

Greatest Common Factor of 6828,9588 By Matching Biggest Common Factor Method

Factors of 6828

List of positive integer factors of 6828 that divides 6828 without a remainder.

1,2,3,4,6,12,569,1138,1707,2276,3414,6828

Factors of 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588

Greatest Common Factor

We found the factors 6828,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 6828,9588 is 12.

Lets's calculate LCM of 529,1998

Given numbers has no common factors except 1. So, there LCM is their product i.e 1056942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1056942

Therefore, the GCF of Fractions 6828/529,9588/1998 is 12/1056942

Least Common Multiple of 529,1998 with GCF Formula

Least Common Multiple of 529,1998 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 529,1998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,1998) = 1

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

GCF(529,1998) x common factors =1 x 1 = 1

LCM(529,1998) = ( 529 × 1998 ) / 1

LCM(529,1998) = 1056942 / 1

LCM(529,1998) = 1056942


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 6828/529, 9588/1998

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 6828/529, 9588/1998?

Answer: GCF of Numerators as per given numbers 6828/529, 9588/1998 is

GCF of Numerators i.e. for 6828,9588 is 12

LCM of denominators i.e. for 529,1998 is 1056942.

Thus, GCF of Fractions is 12/1056942.Finally, GCF of Fractions for 6828/529, 9588/1998 is 12/1056942.