Use our free GCF of Fractions Calculator tool to compute the GCF of 301/934, 986/284 i.e 1/132628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/934, 986/284.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/934,986/284
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 301/934,986/284, numerators are 301,986
Denominators are 934,284
The GCF of 301,986 is 1 .
LCM of 934,284 is 132628.
The greatest common factor of 301/934,986/284 = [GCF of 301,986]/[LCM of 934,284]= 1/132628
Therefore, the GCF of 301/934,986/284 is 1/132628.
To find the highest common factor of 301,986, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The HCF of 301,986 is 1.
Lets's calculate GCF of 301,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 301,986 . The biggest common factor number is the GCF number.
So the greatest common factor 301,986 is 1.
Lets's calculate LCM of 934,284
2 | 934, 284 |
467, 142 |
∴ So the LCM of the given numbers is 2 x 467 x 142 = 132628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132628
Therefore, the GCF of Fractions 301/934,986/284 is 1/132628
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 934,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,284) x common factors =2 x 1 = 2
LCM(934,284) = ( 934 × 284 ) / 2
LCM(934,284) = 265256 / 2
LCM(934,284) = 132628
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 301,986?
The HCF of 301,986 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 301/934, 986/284?
Answer: GCF of Numerators as per given numbers 301/934, 986/284 is
GCF of Numerators i.e. for 301,986 is 1
LCM of denominators i.e. for 934,284 is 132628.
Thus, GCF of Fractions is 1/132628.Finally, GCF of Fractions for 301/934, 986/284 is 1/132628.