Greatest Common Factor of 5292/889, 8016/6305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5292/889, 8016/6305

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 5292/889,8016/6305

Given fractions are 5292/889,8016/6305

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 5292,8016

Greatest Common Factor of Numerators i.e. GCF of 5292,8016 is 12 .

LCM of Denominators means LCM of 889,6305 as per the given fractions.

LCM of 889,6305 is 5605145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5292,8016

GCF of Fractions 5292/889,8016/6305 is 12/5605145

2 5292, 8016
2 2646, 4008
3 1323, 2004
441, 668

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

Greatest Common Factor of 5292,8016 By Matching Biggest Common Factor Method

Greatest Common Factor of 5292,8016 By Matching Biggest Common Factor Method

Factors of 5292

List of positive integer factors of 5292 that divides 5292 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292

Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1,2,3,4,6,8,12,16,24,48,167,334,501,668,1002,1336,2004,2672,4008,8016

Greatest Common Factor

We found the factors 5292,8016 . The biggest common factor number is the GCF number.
So the greatest common factor 5292,8016 is 12.

Lets's calculate LCM of 889,6305

Given numbers has no common factors except 1. So, there LCM is their product i.e 5605145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5605145

Therefore, the GCF of Fractions 5292/889,8016/6305 is 12/5605145

Least Common Multiple of 889,6305 with GCF Formula

Least Common Multiple of 889,6305 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 889,6305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,6305) = 1

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

GCF(889,6305) x common factors =1 x 1 = 1

LCM(889,6305) = ( 889 × 6305 ) / 1

LCM(889,6305) = 5605145 / 1

LCM(889,6305) = 5605145


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 5292/889, 8016/6305

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 5292/889, 8016/6305?

Answer: GCF of Numerators as per given numbers 5292/889, 8016/6305 is

GCF of Numerators i.e. for 5292,8016 is 12

LCM of denominators i.e. for 889,6305 is 5605145.

Thus, GCF of Fractions is 12/5605145.Finally, GCF of Fractions for 5292/889, 8016/6305 is 12/5605145.