Use our free GCF of Fractions Calculator tool to compute the GCF of 290/158, 616/864 i.e 2/68256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/158, 616/864.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/158,616/864
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 290/158,616/864, numerators are 290,616
Denominators are 158,864
The GCF of 290,616 is 2 .
LCM of 158,864 is 68256.
The greatest common factor of 290/158,616/864 = [GCF of 290,616]/[LCM of 158,864]= 2/68256
Therefore, the GCF of 290/158,616/864 is 2/68256.
To find the highest common factor of 290,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 290,616 is 2.
Lets's calculate GCF of 290,616
2 | 290, 616 |
145, 308 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 290,616 . The biggest common factor number is the GCF number.
So the greatest common factor 290,616 is 2.
Lets's calculate LCM of 158,864
2 | 158, 864 |
79, 432 |
∴ So the LCM of the given numbers is 2 x 79 x 432 = 68256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68256
Therefore, the GCF of Fractions 290/158,616/864 is 2/68256
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 158,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,864) x common factors =2 x 1 = 2
LCM(158,864) = ( 158 × 864 ) / 2
LCM(158,864) = 136512 / 2
LCM(158,864) = 68256
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 290,616?
The HCF of 290,616 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 290/158, 616/864?
Answer: GCF of Numerators as per given numbers 290/158, 616/864 is
GCF of Numerators i.e. for 290,616 is 2
LCM of denominators i.e. for 158,864 is 68256.
Thus, GCF of Fractions is 2/68256.Finally, GCF of Fractions for 290/158, 616/864 is 2/68256.