Greatest Common Factor of 1536/14, 9056/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1536/14, 9056/955

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 1536/14,9056/955

Given fractions are 1536/14,9056/955

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 1536,9056

Greatest Common Factor of Numerators i.e. GCF of 1536,9056 is 32 .

LCM of Denominators means LCM of 14,955 as per the given fractions.

LCM of 14,955 is 13370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1536,9056

GCF of Fractions 1536/14,9056/955 is 32/13370

2 1536, 9056
2 768, 4528
2 384, 2264
2 192, 1132
2 96, 566
48, 283

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 1536,9056 By Matching Biggest Common Factor Method

Greatest Common Factor of 1536,9056 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 9056

List of positive integer factors of 9056 that divides 9056 without a remainder.

1,2,4,8,16,32,283,566,1132,2264,4528,9056

Greatest Common Factor

We found the factors 1536,9056 . The biggest common factor number is the GCF number.
So the greatest common factor 1536,9056 is 32.

Lets's calculate LCM of 14,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 13370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/13370

Therefore, the GCF of Fractions 1536/14,9056/955 is 32/13370

Least Common Multiple of 14,955 with GCF Formula

Least Common Multiple of 14,955 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 14,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,955) = 1

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

GCF(14,955) x common factors =1 x 1 = 1

LCM(14,955) = ( 14 × 955 ) / 1

LCM(14,955) = 13370 / 1

LCM(14,955) = 13370


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 1536/14, 9056/955

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 1536/14, 9056/955?

Answer: GCF of Numerators as per given numbers 1536/14, 9056/955 is

GCF of Numerators i.e. for 1536,9056 is 32

LCM of denominators i.e. for 14,955 is 13370.

Thus, GCF of Fractions is 32/13370.Finally, GCF of Fractions for 1536/14, 9056/955 is 32/13370.