Use our free GCF of Fractions Calculator tool to compute the GCF of 288/245, 152/128 i.e 8/31360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 288/245, 152/128.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 288/245,152/128
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 288/245,152/128, numerators are 288,152
Denominators are 245,128
The GCF of 288,152 is 8 .
LCM of 245,128 is 31360.
The greatest common factor of 288/245,152/128 = [GCF of 288,152]/[LCM of 245,128]= 8/31360
Therefore, the GCF of 288/245,152/128 is 8/31360.
To find the highest common factor of 288,152, we have to find the factors of both numbers and list the highest common factor.
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The HCF of 288,152 is 8.
Lets's calculate GCF of 288,152
2 | 288, 152 |
2 | 144, 76 |
2 | 72, 38 |
36, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 288,152 . The biggest common factor number is the GCF number.
So the greatest common factor 288,152 is 8.
Lets's calculate LCM of 245,128
Given numbers has no common factors except 1. So, there LCM is their product i.e 31360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/31360
Therefore, the GCF of Fractions 288/245,152/128 is 8/31360
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 245,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,128) x common factors =1 x 1 = 1
LCM(245,128) = ( 245 × 128 ) / 1
LCM(245,128) = 31360 / 1
LCM(245,128) = 31360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 288,152?
The HCF of 288,152 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 288/245, 152/128?
Answer: GCF of Numerators as per given numbers 288/245, 152/128 is
GCF of Numerators i.e. for 288,152 is 8
LCM of denominators i.e. for 245,128 is 31360.
Thus, GCF of Fractions is 8/31360.Finally, GCF of Fractions for 288/245, 152/128 is 8/31360.