GCF of 528/202, 464/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 528/202, 464/144 i.e 16/14544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/202, 464/144.
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 528/202,464/144?
Given fractions are 528/202,464/144
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 528/202,464/144, numerators are 528,464
Denominators are 202,144
The GCF of 528,464 is 16 .
LCM of 202,144 is 14544.
The greatest common factor of 528/202,464/144 = [GCF of 528,464]/[LCM of 202,144]= 16/14544
Therefore, the GCF of 528/202,464/144 is 16/14544.
To find the highest common factor of 528,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 528,464 is 16.
Lets's calculate GCF of 528,464
| 2 | 528, 464 |
| 2 | 264, 232 |
| 2 | 132, 116 |
| 2 | 66, 58 |
| 33, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 528,464 By Matching Biggest Common Factor Method
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 528,464 . The biggest common factor number is the GCF number.
So the greatest common factor 528,464 is 16.
Lets's calculate LCM of 202,144
| 2 | 202, 144 |
| 101, 72 |
∴ So the LCM of the given numbers is 2 x 101 x 72 = 14544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/14544
Therefore, the GCF of Fractions 528/202,464/144 is 16/14544
Least Common Multiple of 202,144 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 202,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,144) x common factors =2 x 1 = 2
LCM(202,144) = ( 202 × 144 ) / 2
LCM(202,144) = 29088 / 2
LCM(202,144) = 14544
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FAQs on GCF of Fractions of 528/202, 464/144
1. What is the HCF of 528,464?
The HCF of 528,464 is 16
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 528/202, 464/144?
Answer: GCF of Numerators as per given numbers 528/202, 464/144 is
GCF of Numerators i.e. for 528,464 is 16
LCM of denominators i.e. for 202,144 is 14544.
Thus, GCF of Fractions is 16/14544.Finally, GCF of Fractions for 528/202, 464/144 is 16/14544.