Use our free GCF of Fractions Calculator tool to compute the GCF of 73/79, 499/60, 892/150 i.e 1/23700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/79, 499/60, 892/150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/79,499/60,892/150
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 73/79,499/60,892/150, numerators are 73,499,892
Denominators are 79,60,150
The GCF of 73,499,892 is 1 .
LCM of 79,60,150 is 23700.
The greatest common factor of 73/79,499/60,892/150 = [GCF of 73,499,892]/[LCM of 79,60,150]= 1/23700
Therefore, the GCF of 73/79,499/60,892/150 is 1/23700.
To find the highest common factor of 73,499,892, we have to find the factors of both numbers and list the highest common factor.
The factors of 73 are 1, 73
The factors of 499 are 1, 499
The factors of 892 are 1, 2, 4, 223, 446, 892
The HCF of 73,499,892 is 1.
Lets's calculate GCF of 73,499,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 73
:1,73
Now, list down the factors of 499
:1,499
Now, list down the factors of 892
:1,2,4,223,446,892
Greatest Common Factor
We found the factors 73,499,892 . The biggest common factor number is the GCF number.
So the greatest common factor 73,499,892 is 1.
Lets's calculate LCM of 79,60,150
2 | 79, 60, 150 |
3 | 79, 30, 75 |
5 | 79, 10, 25 |
79, 2, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 79 x 2 x 5 = 23700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23700
Therefore, the GCF of Fractions 73/79,499/60,892/150 is 1/23700
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 79,60,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,60,150) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(79,60,150) x common factors =1 x 30 = 30
LCM(79,60,150) = ( 79 × 60 × 150 ) / 30
LCM(79,60,150) = 711000 / 30
LCM(79,60,150) = 23700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 73,499,892?
The HCF of 73,499,892 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 73/79, 499/60, 892/150?
Answer: GCF of Numerators as per given numbers 73/79, 499/60, 892/150 is
GCF of Numerators i.e. for 73,499,892 is 1
LCM of denominators i.e. for 79,60,150 is 23700.
Thus, GCF of Fractions is 1/23700.Finally, GCF of Fractions for 73/79, 499/60, 892/150 is 1/23700.