Greatest Common Factor of 5670/32, 3944/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5670/32, 3944/706

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 5670/32,3944/706

Given fractions are 5670/32,3944/706

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 5670,3944

Greatest Common Factor of Numerators i.e. GCF of 5670,3944 is 2 .

LCM of Denominators means LCM of 32,706 as per the given fractions.

LCM of 32,706 is 11296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5670,3944

GCF of Fractions 5670/32,3944/706 is 2/11296

2 5670, 3944
2835, 1972

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

Greatest Common Factor of 5670,3944 By Matching Biggest Common Factor Method

Greatest Common Factor of 5670,3944 By Matching Biggest Common Factor Method

Factors of 5670

List of positive integer factors of 5670 that divides 5670 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

Greatest Common Factor

We found the factors 5670,3944 . The biggest common factor number is the GCF number.
So the greatest common factor 5670,3944 is 2.

Lets's calculate LCM of 32,706

2 32, 706
16, 353

∴ So the LCM of the given numbers is 2 x 16 x 353 = 11296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11296

Therefore, the GCF of Fractions 5670/32,3944/706 is 2/11296

Least Common Multiple of 32,706 with GCF Formula

Least Common Multiple of 32,706 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 32,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,706) = 2

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

GCF(32,706) x common factors =2 x 1 = 2

LCM(32,706) = ( 32 × 706 ) / 2

LCM(32,706) = 22592 / 2

LCM(32,706) = 11296


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 5670/32, 3944/706

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 5670/32, 3944/706?

Answer: GCF of Numerators as per given numbers 5670/32, 3944/706 is

GCF of Numerators i.e. for 5670,3944 is 2

LCM of denominators i.e. for 32,706 is 11296.

Thus, GCF of Fractions is 2/11296.Finally, GCF of Fractions for 5670/32, 3944/706 is 2/11296.