GCF of 324/217, 788/248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/217, 788/248 i.e 4/1736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/217, 788/248.
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 324/217,788/248?
Given fractions are 324/217,788/248
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 324/217,788/248, numerators are 324,788
Denominators are 217,248
The GCF of 324,788 is 4 .
LCM of 217,248 is 1736.
The greatest common factor of 324/217,788/248 = [GCF of 324,788]/[LCM of 217,248]= 4/1736
Therefore, the GCF of 324/217,788/248 is 4/1736.
To find the highest common factor of 324,788, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 788 are 1, 2, 4, 197, 394, 788
The HCF of 324,788 is 4.
Lets's calculate GCF of 324,788
| 2 | 324, 788 |
| 2 | 162, 394 |
| 81, 197 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 324,788 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 788
:1,2,4,197,394,788
Greatest Common Factor
We found the factors 324,788 . The biggest common factor number is the GCF number.
So the greatest common factor 324,788 is 4.
Lets's calculate LCM of 217,248
| 31 | 217, 248 |
| 7, 8 |
∴ So the LCM of the given numbers is 31 x 7 x 8 = 1736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1736
Therefore, the GCF of Fractions 324/217,788/248 is 4/1736
Least Common Multiple of 217,248 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 217,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,248) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(217,248) x common factors =31 x 1 = 31
LCM(217,248) = ( 217 × 248 ) / 31
LCM(217,248) = 53816 / 31
LCM(217,248) = 1736
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FAQs on GCF of Fractions of 324/217, 788/248
1. What is the HCF of 324,788?
The HCF of 324,788 is 4
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 324/217, 788/248?
Answer: GCF of Numerators as per given numbers 324/217, 788/248 is
GCF of Numerators i.e. for 324,788 is 4
LCM of denominators i.e. for 217,248 is 1736.
Thus, GCF of Fractions is 4/1736.Finally, GCF of Fractions for 324/217, 788/248 is 4/1736.