GCF of 1524/802, 4128/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1524/802, 4128/464 i.e 12/186064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1524/802, 4128/464.
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 1524/802,4128/464?
Given fractions are 1524/802,4128/464
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 1524/802,4128/464, numerators are 1524,4128
Denominators are 802,464
The GCF of 1524,4128 is 12 .
LCM of 802,464 is 186064.
The greatest common factor of 1524/802,4128/464 = [GCF of 1524,4128]/[LCM of 802,464]= 12/186064
Therefore, the GCF of 1524/802,4128/464 is 12/186064.
To find the highest common factor of 1524,4128, we have to find the factors of both numbers and list the highest common factor.
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
The factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128
The HCF of 1524,4128 is 12.
Lets's calculate GCF of 1524,4128
| 2 | 1524, 4128 |
| 2 | 762, 2064 |
| 3 | 381, 1032 |
| 127, 344 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1524,4128 By Matching Biggest Common Factor Method
Now, list down the factors of 1524
:1,2,3,4,6,12,127,254,381,508,762,1524
Now, list down the factors of 4128
:1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Greatest Common Factor
We found the factors 1524,4128 . The biggest common factor number is the GCF number.
So the greatest common factor 1524,4128 is 12.
Lets's calculate LCM of 802,464
| 2 | 802, 464 |
| 401, 232 |
∴ So the LCM of the given numbers is 2 x 401 x 232 = 186064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/186064
Therefore, the GCF of Fractions 1524/802,4128/464 is 12/186064
Least Common Multiple of 802,464 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 802,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,464) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,464) x common factors =2 x 1 = 2
LCM(802,464) = ( 802 × 464 ) / 2
LCM(802,464) = 372128 / 2
LCM(802,464) = 186064
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FAQs on GCF of Fractions of 1524/802, 4128/464
1. What is the HCF of 1524,4128?
The HCF of 1524,4128 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 1524/802, 4128/464?
Answer: GCF of Numerators as per given numbers 1524/802, 4128/464 is
GCF of Numerators i.e. for 1524,4128 is 12
LCM of denominators i.e. for 802,464 is 186064.
Thus, GCF of Fractions is 12/186064.Finally, GCF of Fractions for 1524/802, 4128/464 is 12/186064.