Use our free GCF of Fractions Calculator tool to compute the GCF of 78/990, 92/221, 927/605 i.e 1/2406690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/990, 92/221, 927/605.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/990,92/221,927/605
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 78/990,92/221,927/605, numerators are 78,92,927
Denominators are 990,221,605
The GCF of 78,92,927 is 1 .
LCM of 990,221,605 is 2406690.
The greatest common factor of 78/990,92/221,927/605 = [GCF of 78,92,927]/[LCM of 990,221,605]= 1/2406690
Therefore, the GCF of 78/990,92/221,927/605 is 1/2406690.
To find the highest common factor of 78,92,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 78,92,927 is 1.
Lets's calculate GCF of 78,92,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 78,92,927 . The biggest common factor number is the GCF number.
So the greatest common factor 78,92,927 is 1.
Lets's calculate LCM of 990,221,605
5 | 990, 221, 605 |
11 | 198, 221, 121 |
18, 221, 11 |
∴ So the LCM of the given numbers is 5 x 11 x 18 x 221 x 11 = 2406690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2406690
Therefore, the GCF of Fractions 78/990,92/221,927/605 is 1/2406690
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 990,221,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,221,605) = 1
common factors(in case of two or more numbers have common factors) = 55
GCF(990,221,605) x common factors =1 x 55 = 55
LCM(990,221,605) = ( 990 × 221 × 605 ) / 55
LCM(990,221,605) = 132367950 / 55
LCM(990,221,605) = 2406690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 78,92,927?
The HCF of 78,92,927 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 78/990, 92/221, 927/605?
Answer: GCF of Numerators as per given numbers 78/990, 92/221, 927/605 is
GCF of Numerators i.e. for 78,92,927 is 1
LCM of denominators i.e. for 990,221,605 is 2406690.
Thus, GCF of Fractions is 1/2406690.Finally, GCF of Fractions for 78/990, 92/221, 927/605 is 1/2406690.