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 444/42, 150/8504

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 444/42, 150/8504 i.e 6/178584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/42, 150/8504.

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 444/42,150/8504?

Given fractions are 444/42,150/8504

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 444/42,150/8504, numerators are 444,150

Denominators are 42,8504

The GCF of 444,150 is 6 .

LCM of 42,8504 is 178584.

The greatest common factor of 444/42,150/8504 = [GCF of 444,150]/[LCM of 42,8504]= 6/178584

Therefore, the GCF of 444/42,150/8504 is 6/178584.

Greatest Common Factor of 444,150

To find the highest common factor of 444,150, we have to find the factors of both numbers and list the highest common factor.

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The HCF of 444,150 is 6.

Lets's calculate GCF of 444,150

Greatest Common Factor (GCF) of 444,150 By Common Division

2 444, 150
3 222, 75
74, 25

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 444,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,150 By Matching Biggest Common Factor Method

Now, list down the factors of 444

:

1,2,3,4,6,12,37,74,111,148,222,444

Now, list down the factors of 150

:

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 444,150 . The biggest common factor number is the GCF number.
So the greatest common factor 444,150 is 6.


Lets's calculate LCM of 42,8504

Lowest Common Multiple of 42,8504 using Common Division

2 42, 8504
21, 4252

∴ So the LCM of the given numbers is 2 x 21 x 4252 = 178584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/178584

Therefore, the GCF of Fractions 444/42,150/8504 is 6/178584

Least Common Multiple of 42,8504 with GCF Formula

Least Common Multiple of 42,8504 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 42,8504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,8504) = 2

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

GCF(42,8504) x common factors =2 x 1 = 2

LCM(42,8504) = ( 42 × 8504 ) / 2

LCM(42,8504) = 357168 / 2

LCM(42,8504) = 178584


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 444/42, 150/8504

1. What is the HCF of 444,150?

The HCF of 444,150 is 6

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 444/42, 150/8504?

Answer: GCF of Numerators as per given numbers 444/42, 150/8504 is

GCF of Numerators i.e. for 444,150 is 6

LCM of denominators i.e. for 42,8504 is 178584.

Thus, GCF of Fractions is 6/178584.Finally, GCF of Fractions for 444/42, 150/8504 is 6/178584.