Use our free GCF of Fractions Calculator tool to compute the GCF of 6/32, 81/29, 10/222, 155/240 i.e 1/515040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/32, 81/29, 10/222, 155/240.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/32,81/29,10/222,155/240
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 6/32,81/29,10/222,155/240, numerators are 6,81,10,155
Denominators are 32,29,222,240
The GCF of 6,81,10,155 is 1 .
LCM of 32,29,222,240 is 515040.
The greatest common factor of 6/32,81/29,10/222,155/240 = [GCF of 6,81,10,155]/[LCM of 32,29,222,240]= 1/515040
Therefore, the GCF of 6/32,81/29,10/222,155/240 is 1/515040.
To find the highest common factor of 6,81,10,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 81 are 1, 3, 9, 27, 81
The factors of 10 are 1, 2, 5, 10
The factors of 155 are 1, 5, 31, 155
The HCF of 6,81,10,155 is 1.
Lets's calculate GCF of 6,81,10,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 6,81,10,155 . The biggest common factor number is the GCF number.
So the greatest common factor 6,81,10,155 is 1.
Lets's calculate LCM of 32,29,222,240
2 | 32, 29, 222, 240 |
2 | 16, 29, 111, 120 |
2 | 8, 29, 111, 60 |
2 | 4, 29, 111, 30 |
3 | 2, 29, 111, 15 |
2, 29, 37, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 29 x 37 x 5 = 515040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515040
Therefore, the GCF of Fractions 6/32,81/29,10/222,155/240 is 1/515040
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 32,29,222,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,29,222,240) = 1
common factors(in case of two or more numbers have common factors) = 96
GCF(32,29,222,240) x common factors =1 x 96 = 96
LCM(32,29,222,240) = ( 32 × 29 × 222 × 240 ) / 96
LCM(32,29,222,240) = 49443840 / 96
LCM(32,29,222,240) = 515040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,81,10,155?
The HCF of 6,81,10,155 is 1
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 6/32, 81/29, 10/222, 155/240?
Answer: GCF of Numerators as per given numbers 6/32, 81/29, 10/222, 155/240 is
GCF of Numerators i.e. for 6,81,10,155 is 1
LCM of denominators i.e. for 32,29,222,240 is 515040.
Thus, GCF of Fractions is 1/515040.Finally, GCF of Fractions for 6/32, 81/29, 10/222, 155/240 is 1/515040.