How to Find GCF of 94/444, 37/129, 150/817?

GCF of 94/444, 37/129, 150/817

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 94/444, 37/129, 150/817 i.e 1/362748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/444, 37/129, 150/817.

Enter two or more fractions separated by "commas"

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

What is the GCF of 94/444,37/129,150/817?

Given fractions are 94/444,37/129,150/817

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 94/444,37/129,150/817, numerators are 94,37,150

Denominators are 444,129,817

The GCF of 94,37,150 is 1 .

LCM of 444,129,817 is 362748.

The greatest common factor of 94/444,37/129,150/817 = [GCF of 94,37,150]/[LCM of 444,129,817]= 1/362748

Therefore, the GCF of 94/444,37/129,150/817 is 1/362748.

Greatest Common Factor of 94,37,150

To find the highest common factor of 94,37,150, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 37 are 1, 37

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

The HCF of 94,37,150 is 1.

Lets's calculate GCF of 94,37,150

Greatest Common Factor (GCF) of 94,37,150 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 94,37,150 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 37

1,37

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 94,37,150 . The biggest common factor number is the GCF number.
So the greatest common factor 94,37,150 is 1.

Lets's calculate LCM of 444,129,817

Lowest Common Multiple of 444,129,817 using Common Division

3	444, 129, 817
43	148, 43, 817
	148, 1, 19

∴ So the LCM of the given numbers is 3 x 43 x 148 x 1 x 19 = 362748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362748

Therefore, the GCF of Fractions 94/444,37/129,150/817 is 1/362748

Least Common Multiple of 444,129,817 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 444,129,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,129,817) = 1

common factors(in case of two or more numbers have common factors) = 129

GCF(444,129,817) x common factors =1 x 129 = 129

LCM(444,129,817) = ( 444 × 129 × 817 ) / 129

LCM(444,129,817) = 46794492 / 129

LCM(444,129,817) = 362748

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 94/444, 37/129, 150/817

1. What is the HCF of 94,37,150?

The HCF of 94,37,150 is 1

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 94/444, 37/129, 150/817?

Answer: GCF of Numerators as per given numbers 94/444, 37/129, 150/817 is

GCF of Numerators i.e. for 94,37,150 is 1

LCM of denominators i.e. for 444,129,817 is 362748.

Thus, GCF of Fractions is 1/362748.Finally, GCF of Fractions for 94/444, 37/129, 150/817 is 1/362748.