Greatest Common Factor of 4096/897, 2816/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4096/897, 2816/103

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 4096/897,2816/103

Given fractions are 4096/897,2816/103

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 4096,2816

Greatest Common Factor of Numerators i.e. GCF of 4096,2816 is 256 .

LCM of Denominators means LCM of 897,103 as per the given fractions.

LCM of 897,103 is 92391 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4096,2816

GCF of Fractions 4096/897,2816/103 is 256/92391

2 4096, 2816
2 2048, 1408
2 1024, 704
2 512, 352
2 256, 176
2 128, 88
2 64, 44
2 32, 22
16, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

Greatest Common Factor of 4096,2816 By Matching Biggest Common Factor Method

Greatest Common Factor of 4096,2816 By Matching Biggest Common Factor Method

Factors of 4096

List of positive integer factors of 4096 that divides 4096 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024,2048,4096

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816

Greatest Common Factor

We found the factors 4096,2816 . The biggest common factor number is the GCF number.
So the greatest common factor 4096,2816 is 256.

Lets's calculate LCM of 897,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 92391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 256/92391

Therefore, the GCF of Fractions 4096/897,2816/103 is 256/92391

Least Common Multiple of 897,103 with GCF Formula

Least Common Multiple of 897,103 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 897,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,103) = 1

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

GCF(897,103) x common factors =1 x 1 = 1

LCM(897,103) = ( 897 × 103 ) / 1

LCM(897,103) = 92391 / 1

LCM(897,103) = 92391


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 4096/897, 2816/103

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 4096/897, 2816/103?

Answer: GCF of Numerators as per given numbers 4096/897, 2816/103 is

GCF of Numerators i.e. for 4096,2816 is 256

LCM of denominators i.e. for 897,103 is 92391.

Thus, GCF of Fractions is 256/92391.Finally, GCF of Fractions for 4096/897, 2816/103 is 256/92391.