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GCF of 252/478, 8052/509

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 252/478, 8052/509 i.e 12/243302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/478, 8052/509.

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 252/478,8052/509?

Given fractions are 252/478,8052/509

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 252/478,8052/509, numerators are 252,8052

Denominators are 478,509

The GCF of 252,8052 is 12 .

LCM of 478,509 is 243302.

The greatest common factor of 252/478,8052/509 = [GCF of 252,8052]/[LCM of 478,509]= 12/243302

Therefore, the GCF of 252/478,8052/509 is 12/243302.

Greatest Common Factor of 252,8052

To find the highest common factor of 252,8052, we have to find the factors of both numbers and list the highest common factor.

The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052

The HCF of 252,8052 is 12.

Lets's calculate GCF of 252,8052

Greatest Common Factor (GCF) of 252,8052 By Common Division

2 252, 8052
2 126, 4026
3 63, 2013
21, 671

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 252,8052 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,8052 By Matching Biggest Common Factor Method

Now, list down the factors of 252

:

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Now, list down the factors of 8052

:

1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052

Greatest Common Factor

We found the factors 252,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 252,8052 is 12.


Lets's calculate LCM of 478,509

Lowest Common Multiple of 478,509 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 243302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/243302

Therefore, the GCF of Fractions 252/478,8052/509 is 12/243302

Least Common Multiple of 478,509 with GCF Formula

Least Common Multiple of 478,509 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 478,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,509) = 1

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

GCF(478,509) x common factors =1 x 1 = 1

LCM(478,509) = ( 478 × 509 ) / 1

LCM(478,509) = 243302 / 1

LCM(478,509) = 243302


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 252/478, 8052/509

1. What is the HCF of 252,8052?

The HCF of 252,8052 is 12

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 252/478, 8052/509?

Answer: GCF of Numerators as per given numbers 252/478, 8052/509 is

GCF of Numerators i.e. for 252,8052 is 12

LCM of denominators i.e. for 478,509 is 243302.

Thus, GCF of Fractions is 12/243302.Finally, GCF of Fractions for 252/478, 8052/509 is 12/243302.