Use our free GCF of Fractions Calculator tool to compute the GCF of 39/797, 284/643, 777/990 i.e 1/507346290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/797, 284/643, 777/990.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/797,284/643,777/990
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 39/797,284/643,777/990, numerators are 39,284,777
Denominators are 797,643,990
The GCF of 39,284,777 is 1 .
LCM of 797,643,990 is 507346290.
The greatest common factor of 39/797,284/643,777/990 = [GCF of 39,284,777]/[LCM of 797,643,990]= 1/507346290
Therefore, the GCF of 39/797,284/643,777/990 is 1/507346290.
To find the highest common factor of 39,284,777, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 284 are 1, 2, 4, 71, 142, 284
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The HCF of 39,284,777 is 1.
Lets's calculate GCF of 39,284,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 284
:1,2,4,71,142,284
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 39,284,777 . The biggest common factor number is the GCF number.
So the greatest common factor 39,284,777 is 1.
Lets's calculate LCM of 797,643,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 507346290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507346290
Therefore, the GCF of Fractions 39/797,284/643,777/990 is 1/507346290
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 797,643,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,643,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,643,990) x common factors =1 x 1 = 1
LCM(797,643,990) = ( 797 × 643 × 990 ) / 1
LCM(797,643,990) = 507346290 / 1
LCM(797,643,990) = 507346290
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,284,777?
The HCF of 39,284,777 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 39/797, 284/643, 777/990?
Answer: GCF of Numerators as per given numbers 39/797, 284/643, 777/990 is
GCF of Numerators i.e. for 39,284,777 is 1
LCM of denominators i.e. for 797,643,990 is 507346290.
Thus, GCF of Fractions is 1/507346290.Finally, GCF of Fractions for 39/797, 284/643, 777/990 is 1/507346290.