LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 40/920, 88/281, 394/706

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 40/920, 88/281, 394/706 i.e 2/91257560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/920, 88/281, 394/706.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 40/920,88/281,394/706?

Given fractions are 40/920,88/281,394/706

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 40/920,88/281,394/706, numerators are 40,88,394

Denominators are 920,281,706

The GCF of 40,88,394 is 2 .

LCM of 920,281,706 is 91257560.

The greatest common factor of 40/920,88/281,394/706 = [GCF of 40,88,394]/[LCM of 920,281,706]= 2/91257560

Therefore, the GCF of 40/920,88/281,394/706 is 2/91257560.

Greatest Common Factor of 40,88,394

To find the highest common factor of 40,88,394, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

The factors of 394 are 1, 2, 197, 394

The HCF of 40,88,394 is 2.

Lets's calculate GCF of 40,88,394

Greatest Common Factor (GCF) of 40,88,394 By Common Division

2 40, 88, 394
20, 44, 197

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

Greatest Common Factor of 40,88,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,88,394 By Matching Biggest Common Factor Method

Now, list down the factors of 40

:

1,2,4,5,8,10,20,40

Now, list down the factors of 88

:

1,2,4,8,11,22,44,88

Now, list down the factors of 394

:

1,2,197,394

Greatest Common Factor

We found the factors 40,88,394 . The biggest common factor number is the GCF number.
So the greatest common factor 40,88,394 is 2.


Lets's calculate LCM of 920,281,706

Lowest Common Multiple of 920,281,706 using Common Division

2 920, 281, 706
460, 281, 353

∴ So the LCM of the given numbers is 2 x 460 x 281 x 353 = 91257560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91257560

Therefore, the GCF of Fractions 40/920,88/281,394/706 is 2/91257560

Least Common Multiple of 920,281,706 with GCF Formula

Least Common Multiple of 920,281,706 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 920,281,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,281,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(920,281,706) x common factors =1 x 2 = 2

LCM(920,281,706) = ( 920 × 281 × 706 ) / 2

LCM(920,281,706) = 182515120 / 2

LCM(920,281,706) = 91257560


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 40/920, 88/281, 394/706

1. What is the HCF of 40,88,394?

The HCF of 40,88,394 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 40/920, 88/281, 394/706?

Answer: GCF of Numerators as per given numbers 40/920, 88/281, 394/706 is

GCF of Numerators i.e. for 40,88,394 is 2

LCM of denominators i.e. for 920,281,706 is 91257560.

Thus, GCF of Fractions is 2/91257560.Finally, GCF of Fractions for 40/920, 88/281, 394/706 is 2/91257560.