Use our free GCF of Fractions Calculator tool to compute the GCF of 60/19, 491/31, 283/876 i.e 1/515964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/19, 491/31, 283/876.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/19,491/31,283/876
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 60/19,491/31,283/876, numerators are 60,491,283
Denominators are 19,31,876
The GCF of 60,491,283 is 1 .
LCM of 19,31,876 is 515964.
The greatest common factor of 60/19,491/31,283/876 = [GCF of 60,491,283]/[LCM of 19,31,876]= 1/515964
Therefore, the GCF of 60/19,491/31,283/876 is 1/515964.
To find the highest common factor of 60,491,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 491 are 1, 491
The factors of 283 are 1, 283
The HCF of 60,491,283 is 1.
Lets's calculate GCF of 60,491,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 491
:1,491
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 60,491,283 . The biggest common factor number is the GCF number.
So the greatest common factor 60,491,283 is 1.
Lets's calculate LCM of 19,31,876
Given numbers has no common factors except 1. So, there LCM is their product i.e 515964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515964
Therefore, the GCF of Fractions 60/19,491/31,283/876 is 1/515964
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 19,31,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,31,876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,31,876) x common factors =1 x 1 = 1
LCM(19,31,876) = ( 19 × 31 × 876 ) / 1
LCM(19,31,876) = 515964 / 1
LCM(19,31,876) = 515964
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 60,491,283?
The HCF of 60,491,283 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 60/19, 491/31, 283/876?
Answer: GCF of Numerators as per given numbers 60/19, 491/31, 283/876 is
GCF of Numerators i.e. for 60,491,283 is 1
LCM of denominators i.e. for 19,31,876 is 515964.
Thus, GCF of Fractions is 1/515964.Finally, GCF of Fractions for 60/19, 491/31, 283/876 is 1/515964.