Greatest Common Factor of 3946/32, 6794/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3946/32, 6794/128

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 3946/32,6794/128

Given fractions are 3946/32,6794/128

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 3946,6794

Greatest Common Factor of Numerators i.e. GCF of 3946,6794 is 2 .

LCM of Denominators means LCM of 32,128 as per the given fractions.

LCM of 32,128 is 128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3946,6794

GCF of Fractions 3946/32,6794/128 is 2/128

2 3946, 6794
1973, 3397

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

Greatest Common Factor of 3946,6794 By Matching Biggest Common Factor Method

Greatest Common Factor of 3946,6794 By Matching Biggest Common Factor Method

Factors of 3946

List of positive integer factors of 3946 that divides 3946 without a remainder.

1,2,1973,3946

Factors of 6794

List of positive integer factors of 6794 that divides 6794 without a remainder.

1,2,43,79,86,158,3397,6794

Greatest Common Factor

We found the factors 3946,6794 . The biggest common factor number is the GCF number.
So the greatest common factor 3946,6794 is 2.

Lets's calculate LCM of 32,128

2 32, 128
2 16, 64
2 8, 32
2 4, 16
2 2, 8
1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 4 = 128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128

Therefore, the GCF of Fractions 3946/32,6794/128 is 2/128

Least Common Multiple of 32,128 with GCF Formula

Least Common Multiple of 32,128 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 32,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,128) = 32

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

GCF(32,128) x common factors =32 x 1 = 32

LCM(32,128) = ( 32 × 128 ) / 32

LCM(32,128) = 4096 / 32

LCM(32,128) = 128


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 3946/32, 6794/128

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 3946/32, 6794/128?

Answer: GCF of Numerators as per given numbers 3946/32, 6794/128 is

GCF of Numerators i.e. for 3946,6794 is 2

LCM of denominators i.e. for 32,128 is 128.

Thus, GCF of Fractions is 2/128.Finally, GCF of Fractions for 3946/32, 6794/128 is 2/128.