How to Find GCF of 330/53, 150/6926?

GCF of 330/53, 150/6926

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 330/53, 150/6926 i.e 30/367078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 330/53, 150/6926.

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 330/53,150/6926?

Given fractions are 330/53,150/6926

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 330/53,150/6926, numerators are 330,150

Denominators are 53,6926

The GCF of 330,150 is 30 .

LCM of 53,6926 is 367078.

The greatest common factor of 330/53,150/6926 = [GCF of 330,150]/[LCM of 53,6926]= 30/367078

Therefore, the GCF of 330/53,150/6926 is 30/367078.

Greatest Common Factor of 330,150

To find the highest common factor of 330,150, we have to find the factors of both numbers and list the highest common factor.

The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

The HCF of 330,150 is 30.

Lets's calculate GCF of 330,150

Greatest Common Factor (GCF) of 330,150 By Common Division

2	330, 150
3	165, 75
5	55, 25
	11, 5

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 330,150 By Matching Biggest Common Factor Method

Now, list down the factors of 330

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

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 330,150 . The biggest common factor number is the GCF number.
So the greatest common factor 330,150 is 30.

Lets's calculate LCM of 53,6926

Lowest Common Multiple of 53,6926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 367078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/367078

Therefore, the GCF of Fractions 330/53,150/6926 is 30/367078

Least Common Multiple of 53,6926 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 53,6926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,6926) = 1

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

GCF(53,6926) x common factors =1 x 1 = 1

LCM(53,6926) = ( 53 × 6926 ) / 1

LCM(53,6926) = 367078 / 1

LCM(53,6926) = 367078

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FAQs on GCF of Fractions of 330/53, 150/6926

1. What is the HCF of 330,150?

The HCF of 330,150 is 30

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 330/53, 150/6926?

Answer: GCF of Numerators as per given numbers 330/53, 150/6926 is

GCF of Numerators i.e. for 330,150 is 30

LCM of denominators i.e. for 53,6926 is 367078.

Thus, GCF of Fractions is 30/367078.Finally, GCF of Fractions for 330/53, 150/6926 is 30/367078.