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 12/433, 40/215

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 12/433, 40/215 i.e 4/93095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/433, 40/215.

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 12/433,40/215?

Given fractions are 12/433,40/215

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 12/433,40/215, numerators are 12,40

Denominators are 433,215

The GCF of 12,40 is 4 .

LCM of 433,215 is 93095.

The greatest common factor of 12/433,40/215 = [GCF of 12,40]/[LCM of 433,215]= 4/93095

Therefore, the GCF of 12/433,40/215 is 4/93095.

Greatest Common Factor of 12,40

To find the highest common factor of 12,40, we have to find the factors of both numbers and list the highest common factor.

The factors of 12 are 1, 2, 3, 4, 6, 12

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

The HCF of 12,40 is 4.

Lets's calculate GCF of 12,40

Greatest Common Factor (GCF) of 12,40 By Common Division

2 12, 40
2 6, 20
3, 10

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 12,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,40 By Matching Biggest Common Factor Method

Now, list down the factors of 12

:

1,2,3,4,6,12

Now, list down the factors of 40

:

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

Greatest Common Factor

We found the factors 12,40 . The biggest common factor number is the GCF number.
So the greatest common factor 12,40 is 4.

Lets's calculate LCM of 433,215

Lowest Common Multiple of 433,215 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 93095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/93095

Therefore, the GCF of Fractions 12/433,40/215 is 4/93095

Least Common Multiple of 433,215 with GCF Formula

Least Common Multiple of 433,215 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 433,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,215) = 1

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

GCF(433,215) x common factors =1 x 1 = 1

LCM(433,215) = ( 433 × 215 ) / 1

LCM(433,215) = 93095 / 1

LCM(433,215) = 93095


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 12/433, 40/215

1. What is the HCF of 12,40?

The HCF of 12,40 is 4

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 12/433, 40/215?

Answer: GCF of Numerators as per given numbers 12/433, 40/215 is

GCF of Numerators i.e. for 12,40 is 4

LCM of denominators i.e. for 433,215 is 93095.

Thus, GCF of Fractions is 4/93095.Finally, GCF of Fractions for 12/433, 40/215 is 4/93095.