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GCF of 330/38, 145/275

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 330/38, 145/275 i.e 5/10450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 330/38, 145/275.

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 330/38,145/275?

Given fractions are 330/38,145/275

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 330/38,145/275, numerators are 330,145

Denominators are 38,275

The GCF of 330,145 is 5 .

LCM of 38,275 is 10450.

The greatest common factor of 330/38,145/275 = [GCF of 330,145]/[LCM of 38,275]= 5/10450

Therefore, the GCF of 330/38,145/275 is 5/10450.

Greatest Common Factor of 330,145

To find the highest common factor of 330,145, 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 145 are 1, 5, 29, 145

The HCF of 330,145 is 5.

Lets's calculate GCF of 330,145

Greatest Common Factor (GCF) of 330,145 By Common Division

5 330, 145
66, 29

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 330,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,145 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 145

:

1,5,29,145

Greatest Common Factor

We found the factors 330,145 . The biggest common factor number is the GCF number.
So the greatest common factor 330,145 is 5.

Lets's calculate LCM of 38,275

Lowest Common Multiple of 38,275 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 10450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/10450

Therefore, the GCF of Fractions 330/38,145/275 is 5/10450

Least Common Multiple of 38,275 with GCF Formula

Least Common Multiple of 38,275 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 38,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,275) = 1

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

GCF(38,275) x common factors =1 x 1 = 1

LCM(38,275) = ( 38 × 275 ) / 1

LCM(38,275) = 10450 / 1

LCM(38,275) = 10450


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FAQs on GCF of Fractions of 330/38, 145/275

1. What is the HCF of 330,145?

The HCF of 330,145 is 5

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 330/38, 145/275?

Answer: GCF of Numerators as per given numbers 330/38, 145/275 is

GCF of Numerators i.e. for 330,145 is 5

LCM of denominators i.e. for 38,275 is 10450.

Thus, GCF of Fractions is 5/10450.Finally, GCF of Fractions for 330/38, 145/275 is 5/10450.