Use our free GCF of Fractions Calculator tool to compute the GCF of 2/76, 71/12, 24/871, 927/328 i.e 1/16284216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/76, 71/12, 24/871, 927/328.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/76,71/12,24/871,927/328
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 2/76,71/12,24/871,927/328, numerators are 2,71,24,927
Denominators are 76,12,871,328
The GCF of 2,71,24,927 is 1 .
LCM of 76,12,871,328 is 16284216.
The greatest common factor of 2/76,71/12,24/871,927/328 = [GCF of 2,71,24,927]/[LCM of 76,12,871,328]= 1/16284216
Therefore, the GCF of 2/76,71/12,24/871,927/328 is 1/16284216.
To find the highest common factor of 2,71,24,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 71 are 1, 71
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 2,71,24,927 is 1.
Lets's calculate GCF of 2,71,24,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2
:1,2
Now, list down the factors of 71
:1,71
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 2,71,24,927 . The biggest common factor number is the GCF number.
So the greatest common factor 2,71,24,927 is 1.
Lets's calculate LCM of 76,12,871,328
2 | 76, 12, 871, 328 |
2 | 38, 6, 871, 164 |
19, 3, 871, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 871 x 82 = 16284216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16284216
Therefore, the GCF of Fractions 2/76,71/12,24/871,927/328 is 1/16284216
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 76,12,871,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,12,871,328) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(76,12,871,328) x common factors =1 x 16 = 16
LCM(76,12,871,328) = ( 76 × 12 × 871 × 328 ) / 16
LCM(76,12,871,328) = 260547456 / 16
LCM(76,12,871,328) = 16284216
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2,71,24,927?
The HCF of 2,71,24,927 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 2/76, 71/12, 24/871, 927/328?
Answer: GCF of Numerators as per given numbers 2/76, 71/12, 24/871, 927/328 is
GCF of Numerators i.e. for 2,71,24,927 is 1
LCM of denominators i.e. for 76,12,871,328 is 16284216.
Thus, GCF of Fractions is 1/16284216.Finally, GCF of Fractions for 2/76, 71/12, 24/871, 927/328 is 1/16284216.