GCF of 528/414, 468/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 528/414, 468/608 i.e 12/125856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/414, 468/608.
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 528/414,468/608?
Given fractions are 528/414,468/608
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 528/414,468/608, numerators are 528,468
Denominators are 414,608
The GCF of 528,468 is 12 .
LCM of 414,608 is 125856.
The greatest common factor of 528/414,468/608 = [GCF of 528,468]/[LCM of 414,608]= 12/125856
Therefore, the GCF of 528/414,468/608 is 12/125856.
To find the highest common factor of 528,468, 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 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 528,468 is 12.
Lets's calculate GCF of 528,468
| 2 | 528, 468 |
| 2 | 264, 234 |
| 3 | 132, 117 |
| 44, 39 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 528,468 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 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 528,468 . The biggest common factor number is the GCF number.
So the greatest common factor 528,468 is 12.
Lets's calculate LCM of 414,608
| 2 | 414, 608 |
| 207, 304 |
∴ So the LCM of the given numbers is 2 x 207 x 304 = 125856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/125856
Therefore, the GCF of Fractions 528/414,468/608 is 12/125856
Least Common Multiple of 414,608 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 414,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,608) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,608) x common factors =2 x 1 = 2
LCM(414,608) = ( 414 × 608 ) / 2
LCM(414,608) = 251712 / 2
LCM(414,608) = 125856
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FAQs on GCF of Fractions of 528/414, 468/608
1. What is the HCF of 528,468?
The HCF of 528,468 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 528/414, 468/608?
Answer: GCF of Numerators as per given numbers 528/414, 468/608 is
GCF of Numerators i.e. for 528,468 is 12
LCM of denominators i.e. for 414,608 is 125856.
Thus, GCF of Fractions is 12/125856.Finally, GCF of Fractions for 528/414, 468/608 is 12/125856.