Greatest Common Factor of 1536/337, 9828/7158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1536/337, 9828/7158

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 1536/337,9828/7158

Given fractions are 1536/337,9828/7158

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 1536,9828

Greatest Common Factor of Numerators i.e. GCF of 1536,9828 is 12 .

LCM of Denominators means LCM of 337,7158 as per the given fractions.

LCM of 337,7158 is 2412246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1536,9828

GCF of Fractions 1536/337,9828/7158 is 12/2412246

2 1536, 9828
2 768, 4914
3 384, 2457
128, 819

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

Greatest Common Factor of 1536,9828 By Matching Biggest Common Factor Method

Greatest Common Factor of 1536,9828 By Matching Biggest Common Factor Method

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536

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 1536,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 1536,9828 is 12.

Lets's calculate LCM of 337,7158

Given numbers has no common factors except 1. So, there LCM is their product i.e 2412246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2412246

Therefore, the GCF of Fractions 1536/337,9828/7158 is 12/2412246

Least Common Multiple of 337,7158 with GCF Formula

Least Common Multiple of 337,7158 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 337,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,7158) = 1

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

GCF(337,7158) x common factors =1 x 1 = 1

LCM(337,7158) = ( 337 × 7158 ) / 1

LCM(337,7158) = 2412246 / 1

LCM(337,7158) = 2412246


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 1536/337, 9828/7158

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 1536/337, 9828/7158?

Answer: GCF of Numerators as per given numbers 1536/337, 9828/7158 is

GCF of Numerators i.e. for 1536,9828 is 12

LCM of denominators i.e. for 337,7158 is 2412246.

Thus, GCF of Fractions is 12/2412246.Finally, GCF of Fractions for 1536/337, 9828/7158 is 12/2412246.