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GCF of 330/47, 425/492

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 330/47, 425/492 i.e 5/23124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 330/47, 425/492.

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 330/47,425/492?

Given fractions are 330/47,425/492

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 330/47,425/492, numerators are 330,425

Denominators are 47,492

The GCF of 330,425 is 5 .

LCM of 47,492 is 23124.

The greatest common factor of 330/47,425/492 = [GCF of 330,425]/[LCM of 47,492]= 5/23124

Therefore, the GCF of 330/47,425/492 is 5/23124.

Greatest Common Factor of 330,425

To find the highest common factor of 330,425, 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 425 are 1, 5, 17, 25, 85, 425

The HCF of 330,425 is 5.

Lets's calculate GCF of 330,425

Greatest Common Factor (GCF) of 330,425 By Common Division

5 330, 425
66, 85

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

Greatest Common Factor of 330,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,425 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 425

:

1,5,17,25,85,425

Greatest Common Factor

We found the factors 330,425 . The biggest common factor number is the GCF number.
So the greatest common factor 330,425 is 5.

Lets's calculate LCM of 47,492

Lowest Common Multiple of 47,492 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/23124

Therefore, the GCF of Fractions 330/47,425/492 is 5/23124

Least Common Multiple of 47,492 with GCF Formula

Least Common Multiple of 47,492 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 47,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,492) = 1

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

GCF(47,492) x common factors =1 x 1 = 1

LCM(47,492) = ( 47 × 492 ) / 1

LCM(47,492) = 23124 / 1

LCM(47,492) = 23124


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FAQs on GCF of Fractions of 330/47, 425/492

1. What is the HCF of 330,425?

The HCF of 330,425 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 330/47, 425/492?

Answer: GCF of Numerators as per given numbers 330/47, 425/492 is

GCF of Numerators i.e. for 330,425 is 5

LCM of denominators i.e. for 47,492 is 23124.

Thus, GCF of Fractions is 5/23124.Finally, GCF of Fractions for 330/47, 425/492 is 5/23124.