Use our free GCF of Fractions Calculator tool to compute the GCF of 30/821, 892/507, 364/146 i.e 2/60772062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/821, 892/507, 364/146.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/821,892/507,364/146
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 30/821,892/507,364/146, numerators are 30,892,364
Denominators are 821,507,146
The GCF of 30,892,364 is 2 .
LCM of 821,507,146 is 60772062.
The greatest common factor of 30/821,892/507,364/146 = [GCF of 30,892,364]/[LCM of 821,507,146]= 2/60772062
Therefore, the GCF of 30/821,892/507,364/146 is 2/60772062.
To find the highest common factor of 30,892,364, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 892 are 1, 2, 4, 223, 446, 892
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The HCF of 30,892,364 is 2.
Lets's calculate GCF of 30,892,364
2 | 30, 892, 364 |
15, 446, 182 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 892
:1,2,4,223,446,892
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 30,892,364 . The biggest common factor number is the GCF number.
So the greatest common factor 30,892,364 is 2.
Lets's calculate LCM of 821,507,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 60772062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60772062
Therefore, the GCF of Fractions 30/821,892/507,364/146 is 2/60772062
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 821,507,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,507,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,507,146) x common factors =1 x 1 = 1
LCM(821,507,146) = ( 821 × 507 × 146 ) / 1
LCM(821,507,146) = 60772062 / 1
LCM(821,507,146) = 60772062
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,892,364?
The HCF of 30,892,364 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 30/821, 892/507, 364/146?
Answer: GCF of Numerators as per given numbers 30/821, 892/507, 364/146 is
GCF of Numerators i.e. for 30,892,364 is 2
LCM of denominators i.e. for 821,507,146 is 60772062.
Thus, GCF of Fractions is 2/60772062.Finally, GCF of Fractions for 30/821, 892/507, 364/146 is 2/60772062.