Use our free GCF of Fractions Calculator tool to compute the GCF of 2168/508, 1520/5128 i.e 8/651256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2168/508, 1520/5128.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2168/508,1520/5128
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 2168/508,1520/5128, numerators are 2168,1520
Denominators are 508,5128
The GCF of 2168,1520 is 8 .
LCM of 508,5128 is 651256.
The greatest common factor of 2168/508,1520/5128 = [GCF of 2168,1520]/[LCM of 508,5128]= 8/651256
Therefore, the GCF of 2168/508,1520/5128 is 8/651256.
To find the highest common factor of 2168,1520, we have to find the factors of both numbers and list the highest common factor.
The factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The HCF of 2168,1520 is 8.
Lets's calculate GCF of 2168,1520
2 | 2168, 1520 |
2 | 1084, 760 |
2 | 542, 380 |
271, 190 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 2168
:1,2,4,8,271,542,1084,2168
Now, list down the factors of 1520
:1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 2168,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 2168,1520 is 8.
Lets's calculate LCM of 508,5128
2 | 508, 5128 |
2 | 254, 2564 |
127, 1282 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 1282 = 651256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/651256
Therefore, the GCF of Fractions 2168/508,1520/5128 is 8/651256
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 508,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,5128) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,5128) x common factors =4 x 1 = 4
LCM(508,5128) = ( 508 × 5128 ) / 4
LCM(508,5128) = 2605024 / 4
LCM(508,5128) = 651256
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2168,1520?
The HCF of 2168,1520 is 8
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 2168/508, 1520/5128?
Answer: GCF of Numerators as per given numbers 2168/508, 1520/5128 is
GCF of Numerators i.e. for 2168,1520 is 8
LCM of denominators i.e. for 508,5128 is 651256.
Thus, GCF of Fractions is 8/651256.Finally, GCF of Fractions for 2168/508, 1520/5128 is 8/651256.