GCF of 3231/448, 5310/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3231/448, 5310/652 i.e 9/73024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3231/448, 5310/652.
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 3231/448,5310/652?
Given fractions are 3231/448,5310/652
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 3231/448,5310/652, numerators are 3231,5310
Denominators are 448,652
The GCF of 3231,5310 is 9 .
LCM of 448,652 is 73024.
The greatest common factor of 3231/448,5310/652 = [GCF of 3231,5310]/[LCM of 448,652]= 9/73024
Therefore, the GCF of 3231/448,5310/652 is 9/73024.
To find the highest common factor of 3231,5310, we have to find the factors of both numbers and list the highest common factor.
The factors of 3231 are 1, 3, 9, 359, 1077, 3231
The factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310
The HCF of 3231,5310 is 9.
Lets's calculate GCF of 3231,5310
| 3 | 3231, 5310 |
| 3 | 1077, 1770 |
| 359, 590 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3231,5310 By Matching Biggest Common Factor Method
Now, list down the factors of 3231
:1,3,9,359,1077,3231
Now, list down the factors of 5310
:1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Greatest Common Factor
We found the factors 3231,5310 . The biggest common factor number is the GCF number.
So the greatest common factor 3231,5310 is 9.
Lets's calculate LCM of 448,652
| 2 | 448, 652 |
| 2 | 224, 326 |
| 112, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 112 x 163 = 73024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/73024
Therefore, the GCF of Fractions 3231/448,5310/652 is 9/73024
Least Common Multiple of 448,652 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 448,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(448,652) x common factors =4 x 1 = 4
LCM(448,652) = ( 448 × 652 ) / 4
LCM(448,652) = 292096 / 4
LCM(448,652) = 73024
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FAQs on GCF of Fractions of 3231/448, 5310/652
1. What is the HCF of 3231,5310?
The HCF of 3231,5310 is 9
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 3231/448, 5310/652?
Answer: GCF of Numerators as per given numbers 3231/448, 5310/652 is
GCF of Numerators i.e. for 3231,5310 is 9
LCM of denominators i.e. for 448,652 is 73024.
Thus, GCF of Fractions is 9/73024.Finally, GCF of Fractions for 3231/448, 5310/652 is 9/73024.