Use our free GCF of Fractions Calculator tool to compute the GCF of 4925/664, 8988/3270 i.e 1/1085640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4925/664, 8988/3270.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4925/664,8988/3270
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 4925/664,8988/3270, numerators are 4925,8988
Denominators are 664,3270
The GCF of 4925,8988 is 1 .
LCM of 664,3270 is 1085640.
The greatest common factor of 4925/664,8988/3270 = [GCF of 4925,8988]/[LCM of 664,3270]= 1/1085640
Therefore, the GCF of 4925/664,8988/3270 is 1/1085640.
To find the highest common factor of 4925,8988, we have to find the factors of both numbers and list the highest common factor.
The factors of 4925 are 1, 5, 25, 197, 985, 4925
The factors of 8988 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988
The HCF of 4925,8988 is 1.
Lets's calculate GCF of 4925,8988
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4925
:1,5,25,197,985,4925
Now, list down the factors of 8988
:1,2,3,4,6,7,12,14,21,28,42,84,107,214,321,428,642,749,1284,1498,2247,2996,4494,8988
Greatest Common Factor
We found the factors 4925,8988 . The biggest common factor number is the GCF number.
So the greatest common factor 4925,8988 is 1.
Lets's calculate LCM of 664,3270
2 | 664, 3270 |
332, 1635 |
∴ So the LCM of the given numbers is 2 x 332 x 1635 = 1085640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1085640
Therefore, the GCF of Fractions 4925/664,8988/3270 is 1/1085640
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 664,3270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,3270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,3270) x common factors =2 x 1 = 2
LCM(664,3270) = ( 664 × 3270 ) / 2
LCM(664,3270) = 2171280 / 2
LCM(664,3270) = 1085640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4925,8988?
The HCF of 4925,8988 is 1
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 4925/664, 8988/3270?
Answer: GCF of Numerators as per given numbers 4925/664, 8988/3270 is
GCF of Numerators i.e. for 4925,8988 is 1
LCM of denominators i.e. for 664,3270 is 1085640.
Thus, GCF of Fractions is 1/1085640.Finally, GCF of Fractions for 4925/664, 8988/3270 is 1/1085640.