Use our free GCF of Fractions Calculator tool to compute the GCF of 302/782, 974/991 i.e 2/774962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 302/782, 974/991.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/782,974/991
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 302/782,974/991, numerators are 302,974
Denominators are 782,991
The GCF of 302,974 is 2 .
LCM of 782,991 is 774962.
The greatest common factor of 302/782,974/991 = [GCF of 302,974]/[LCM of 782,991]= 2/774962
Therefore, the GCF of 302/782,974/991 is 2/774962.
To find the highest common factor of 302,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 302 are 1, 2, 151, 302
The factors of 974 are 1, 2, 487, 974
The HCF of 302,974 is 2.
Lets's calculate GCF of 302,974
2 | 302, 974 |
151, 487 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 302
:1,2,151,302
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 302,974 . The biggest common factor number is the GCF number.
So the greatest common factor 302,974 is 2.
Lets's calculate LCM of 782,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 774962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/774962
Therefore, the GCF of Fractions 302/782,974/991 is 2/774962
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 782,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,991) x common factors =1 x 1 = 1
LCM(782,991) = ( 782 × 991 ) / 1
LCM(782,991) = 774962 / 1
LCM(782,991) = 774962
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 302,974?
The HCF of 302,974 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 302/782, 974/991?
Answer: GCF of Numerators as per given numbers 302/782, 974/991 is
GCF of Numerators i.e. for 302,974 is 2
LCM of denominators i.e. for 782,991 is 774962.
Thus, GCF of Fractions is 2/774962.Finally, GCF of Fractions for 302/782, 974/991 is 2/774962.