Greatest Common Factor of 3848/122, 1810/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3848/122, 1810/256

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 3848/122,1810/256

Given fractions are 3848/122,1810/256

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 3848,1810

Greatest Common Factor of Numerators i.e. GCF of 3848,1810 is 2 .

LCM of Denominators means LCM of 122,256 as per the given fractions.

LCM of 122,256 is 15616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3848,1810

GCF of Fractions 3848/122,1810/256 is 2/15616

2 3848, 1810
1924, 905

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

Greatest Common Factor of 3848,1810 By Matching Biggest Common Factor Method

Greatest Common Factor of 3848,1810 By Matching Biggest Common Factor Method

Factors of 3848

List of positive integer factors of 3848 that divides 3848 without a remainder.

1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848

Factors of 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1,2,5,10,181,362,905,1810

Greatest Common Factor

We found the factors 3848,1810 . The biggest common factor number is the GCF number.
So the greatest common factor 3848,1810 is 2.

Lets's calculate LCM of 122,256

2 122, 256
61, 128

∴ So the LCM of the given numbers is 2 x 61 x 128 = 15616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15616

Therefore, the GCF of Fractions 3848/122,1810/256 is 2/15616

Least Common Multiple of 122,256 with GCF Formula

Least Common Multiple of 122,256 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 122,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,256) = 2

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

GCF(122,256) x common factors =2 x 1 = 2

LCM(122,256) = ( 122 × 256 ) / 2

LCM(122,256) = 31232 / 2

LCM(122,256) = 15616


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 3848/122, 1810/256

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 3848/122, 1810/256?

Answer: GCF of Numerators as per given numbers 3848/122, 1810/256 is

GCF of Numerators i.e. for 3848,1810 is 2

LCM of denominators i.e. for 122,256 is 15616.

Thus, GCF of Fractions is 2/15616.Finally, GCF of Fractions for 3848/122, 1810/256 is 2/15616.