Greatest Common Factor of 8112/430, 9536/5180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8112/430, 9536/5180

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 8112/430,9536/5180

Given fractions are 8112/430,9536/5180

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 8112,9536

Greatest Common Factor of Numerators i.e. GCF of 8112,9536 is 16 .

LCM of Denominators means LCM of 430,5180 as per the given fractions.

LCM of 430,5180 is 222740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8112,9536

GCF of Fractions 8112/430,9536/5180 is 16/222740

2 8112, 9536
2 4056, 4768
2 2028, 2384
2 1014, 1192
507, 596

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 8112,9536 By Matching Biggest Common Factor Method

Greatest Common Factor of 8112,9536 By Matching Biggest Common Factor Method

Factors of 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112

Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536

Greatest Common Factor

We found the factors 8112,9536 . The biggest common factor number is the GCF number.
So the greatest common factor 8112,9536 is 16.

Lets's calculate LCM of 430,5180

2 430, 5180
5 215, 2590
43, 518

∴ So the LCM of the given numbers is 2 x 5 x 43 x 518 = 222740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/222740

Therefore, the GCF of Fractions 8112/430,9536/5180 is 16/222740

Least Common Multiple of 430,5180 with GCF Formula

Least Common Multiple of 430,5180 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 430,5180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,5180) = 10

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

GCF(430,5180) x common factors =10 x 1 = 10

LCM(430,5180) = ( 430 × 5180 ) / 10

LCM(430,5180) = 2227400 / 10

LCM(430,5180) = 222740


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 8112/430, 9536/5180

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 8112/430, 9536/5180?

Answer: GCF of Numerators as per given numbers 8112/430, 9536/5180 is

GCF of Numerators i.e. for 8112,9536 is 16

LCM of denominators i.e. for 430,5180 is 222740.

Thus, GCF of Fractions is 16/222740.Finally, GCF of Fractions for 8112/430, 9536/5180 is 16/222740.