How to Find GCF of 330/932, 510/208?

GCF of 330/932, 510/208

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 330/932, 510/208 i.e 30/48464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 330/932, 510/208.

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 330/932,510/208?

Given fractions are 330/932,510/208

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 330/932,510/208, numerators are 330,510

Denominators are 932,208

The GCF of 330,510 is 30 .

LCM of 932,208 is 48464.

The greatest common factor of 330/932,510/208 = [GCF of 330,510]/[LCM of 932,208]= 30/48464

Therefore, the GCF of 330/932,510/208 is 30/48464.

Greatest Common Factor of 330,510

To find the highest common factor of 330,510, 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 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The HCF of 330,510 is 30.

Lets's calculate GCF of 330,510

Greatest Common Factor (GCF) of 330,510 By Common Division

2	330, 510
3	165, 255
5	55, 85
	11, 17

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

Greatest Common Factor of 330,510 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 510

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 330,510 . The biggest common factor number is the GCF number.
So the greatest common factor 330,510 is 30.

Lets's calculate LCM of 932,208

Lowest Common Multiple of 932,208 using Common Division

2	932, 208
2	466, 104
	233, 52

∴ So the LCM of the given numbers is 2 x 2 x 233 x 52 = 48464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/48464

Therefore, the GCF of Fractions 330/932,510/208 is 30/48464

Least Common Multiple of 932,208 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 932,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,208) = 4

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

GCF(932,208) x common factors =4 x 1 = 4

LCM(932,208) = ( 932 × 208 ) / 4

LCM(932,208) = 193856 / 4

LCM(932,208) = 48464

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FAQs on GCF of Fractions of 330/932, 510/208

1. What is the HCF of 330,510?

The HCF of 330,510 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 330/932, 510/208?

Answer: GCF of Numerators as per given numbers 330/932, 510/208 is

GCF of Numerators i.e. for 330,510 is 30

LCM of denominators i.e. for 932,208 is 48464.

Thus, GCF of Fractions is 30/48464.Finally, GCF of Fractions for 330/932, 510/208 is 30/48464.