Use our free GCF of Fractions Calculator tool to compute the GCF of 552/423, 432/825 i.e 24/116325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/423, 432/825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/423,432/825
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 552/423,432/825, numerators are 552,432
Denominators are 423,825
The GCF of 552,432 is 24 .
LCM of 423,825 is 116325.
The greatest common factor of 552/423,432/825 = [GCF of 552,432]/[LCM of 423,825]= 24/116325
Therefore, the GCF of 552/423,432/825 is 24/116325.
To find the highest common factor of 552,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 552,432 is 24.
Lets's calculate GCF of 552,432
2 | 552, 432 |
2 | 276, 216 |
2 | 138, 108 |
3 | 69, 54 |
23, 18 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 552,432 . The biggest common factor number is the GCF number.
So the greatest common factor 552,432 is 24.
Lets's calculate LCM of 423,825
3 | 423, 825 |
141, 275 |
∴ So the LCM of the given numbers is 3 x 141 x 275 = 116325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/116325
Therefore, the GCF of Fractions 552/423,432/825 is 24/116325
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 423,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,825) x common factors =3 x 1 = 3
LCM(423,825) = ( 423 × 825 ) / 3
LCM(423,825) = 348975 / 3
LCM(423,825) = 116325
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 552,432?
The HCF of 552,432 is 24
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 552/423, 432/825?
Answer: GCF of Numerators as per given numbers 552/423, 432/825 is
GCF of Numerators i.e. for 552,432 is 24
LCM of denominators i.e. for 423,825 is 116325.
Thus, GCF of Fractions is 24/116325.Finally, GCF of Fractions for 552/423, 432/825 is 24/116325.