Use our free GCF of Fractions Calculator tool to compute the GCF of 87/831, 70/789, 550/204 i.e 1/14861604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/831, 70/789, 550/204.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/831,70/789,550/204
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 87/831,70/789,550/204, numerators are 87,70,550
Denominators are 831,789,204
The GCF of 87,70,550 is 1 .
LCM of 831,789,204 is 14861604.
The greatest common factor of 87/831,70/789,550/204 = [GCF of 87,70,550]/[LCM of 831,789,204]= 1/14861604
Therefore, the GCF of 87/831,70/789,550/204 is 1/14861604.
To find the highest common factor of 87,70,550, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The HCF of 87,70,550 is 1.
Lets's calculate GCF of 87,70,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 87,70,550 . The biggest common factor number is the GCF number.
So the greatest common factor 87,70,550 is 1.
Lets's calculate LCM of 831,789,204
3 | 831, 789, 204 |
277, 263, 68 |
∴ So the LCM of the given numbers is 3 x 277 x 263 x 68 = 14861604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14861604
Therefore, the GCF of Fractions 87/831,70/789,550/204 is 1/14861604
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 831,789,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,789,204) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(831,789,204) x common factors =3 x 3 = 9
LCM(831,789,204) = ( 831 × 789 × 204 ) / 9
LCM(831,789,204) = 133754436 / 9
LCM(831,789,204) = 14861604
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,70,550?
The HCF of 87,70,550 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 87/831, 70/789, 550/204?
Answer: GCF of Numerators as per given numbers 87/831, 70/789, 550/204 is
GCF of Numerators i.e. for 87,70,550 is 1
LCM of denominators i.e. for 831,789,204 is 14861604.
Thus, GCF of Fractions is 1/14861604.Finally, GCF of Fractions for 87/831, 70/789, 550/204 is 1/14861604.