Use our free GCF of Fractions Calculator tool to compute the GCF of 2144/726, 1424/1508 i.e 16/547404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2144/726, 1424/1508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2144/726,1424/1508
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 2144/726,1424/1508, numerators are 2144,1424
Denominators are 726,1508
The GCF of 2144,1424 is 16 .
LCM of 726,1508 is 547404.
The greatest common factor of 2144/726,1424/1508 = [GCF of 2144,1424]/[LCM of 726,1508]= 16/547404
Therefore, the GCF of 2144/726,1424/1508 is 16/547404.
To find the highest common factor of 2144,1424, we have to find the factors of both numbers and list the highest common factor.
The factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144
The factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424
The HCF of 2144,1424 is 16.
Lets's calculate GCF of 2144,1424
2 | 2144, 1424 |
2 | 1072, 712 |
2 | 536, 356 |
2 | 268, 178 |
134, 89 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 2144
:1,2,4,8,16,32,67,134,268,536,1072,2144
Now, list down the factors of 1424
:1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 2144,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 2144,1424 is 16.
Lets's calculate LCM of 726,1508
2 | 726, 1508 |
363, 754 |
∴ So the LCM of the given numbers is 2 x 363 x 754 = 547404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/547404
Therefore, the GCF of Fractions 2144/726,1424/1508 is 16/547404
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 726,1508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,1508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,1508) x common factors =2 x 1 = 2
LCM(726,1508) = ( 726 × 1508 ) / 2
LCM(726,1508) = 1094808 / 2
LCM(726,1508) = 547404
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2144,1424?
The HCF of 2144,1424 is 16
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 2144/726, 1424/1508?
Answer: GCF of Numerators as per given numbers 2144/726, 1424/1508 is
GCF of Numerators i.e. for 2144,1424 is 16
LCM of denominators i.e. for 726,1508 is 547404.
Thus, GCF of Fractions is 16/547404.Finally, GCF of Fractions for 2144/726, 1424/1508 is 16/547404.