Use our free GCF of Fractions Calculator tool to compute the GCF of 2564/125, 1590/2652 i.e 2/331500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2564/125, 1590/2652.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2564/125,1590/2652
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 2564/125,1590/2652, numerators are 2564,1590
Denominators are 125,2652
The GCF of 2564,1590 is 2 .
LCM of 125,2652 is 331500.
The greatest common factor of 2564/125,1590/2652 = [GCF of 2564,1590]/[LCM of 125,2652]= 2/331500
Therefore, the GCF of 2564/125,1590/2652 is 2/331500.
To find the highest common factor of 2564,1590, we have to find the factors of both numbers and list the highest common factor.
The factors of 2564 are 1, 2, 4, 641, 1282, 2564
The factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590
The HCF of 2564,1590 is 2.
Lets's calculate GCF of 2564,1590
2 | 2564, 1590 |
1282, 795 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 2564
:1,2,4,641,1282,2564
Now, list down the factors of 1590
:1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590
Greatest Common Factor
We found the factors 2564,1590 . The biggest common factor number is the GCF number.
So the greatest common factor 2564,1590 is 2.
Lets's calculate LCM of 125,2652
Given numbers has no common factors except 1. So, there LCM is their product i.e 331500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/331500
Therefore, the GCF of Fractions 2564/125,1590/2652 is 2/331500
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 125,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,2652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,2652) x common factors =1 x 1 = 1
LCM(125,2652) = ( 125 × 2652 ) / 1
LCM(125,2652) = 331500 / 1
LCM(125,2652) = 331500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2564,1590?
The HCF of 2564,1590 is 2
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 2564/125, 1590/2652?
Answer: GCF of Numerators as per given numbers 2564/125, 1590/2652 is
GCF of Numerators i.e. for 2564,1590 is 2
LCM of denominators i.e. for 125,2652 is 331500.
Thus, GCF of Fractions is 2/331500.Finally, GCF of Fractions for 2564/125, 1590/2652 is 2/331500.