Use our free GCF of Fractions Calculator tool to compute the GCF of 5/39, 30/35, 89/222, 344/582 i.e 1/9797970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5/39, 30/35, 89/222, 344/582.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/39,30/35,89/222,344/582
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 5/39,30/35,89/222,344/582, numerators are 5,30,89,344
Denominators are 39,35,222,582
The GCF of 5,30,89,344 is 1 .
LCM of 39,35,222,582 is 9797970.
The greatest common factor of 5/39,30/35,89/222,344/582 = [GCF of 5,30,89,344]/[LCM of 39,35,222,582]= 1/9797970
Therefore, the GCF of 5/39,30/35,89/222,344/582 is 1/9797970.
To find the highest common factor of 5,30,89,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 5 are 1, 5
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 89 are 1, 89
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 5,30,89,344 is 1.
Lets's calculate GCF of 5,30,89,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5
:1,5
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 89
:1,89
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 5,30,89,344 . The biggest common factor number is the GCF number.
So the greatest common factor 5,30,89,344 is 1.
Lets's calculate LCM of 39,35,222,582
2 | 39, 35, 222, 582 |
3 | 39, 35, 111, 291 |
13, 35, 37, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 35 x 37 x 97 = 9797970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9797970
Therefore, the GCF of Fractions 5/39,30/35,89/222,344/582 is 1/9797970
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 39,35,222,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,35,222,582) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(39,35,222,582) x common factors =1 x 18 = 18
LCM(39,35,222,582) = ( 39 × 35 × 222 × 582 ) / 18
LCM(39,35,222,582) = 176363460 / 18
LCM(39,35,222,582) = 9797970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5,30,89,344?
The HCF of 5,30,89,344 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 5/39, 30/35, 89/222, 344/582?
Answer: GCF of Numerators as per given numbers 5/39, 30/35, 89/222, 344/582 is
GCF of Numerators i.e. for 5,30,89,344 is 1
LCM of denominators i.e. for 39,35,222,582 is 9797970.
Thus, GCF of Fractions is 1/9797970.Finally, GCF of Fractions for 5/39, 30/35, 89/222, 344/582 is 1/9797970.