Use our free GCF of Fractions Calculator tool to compute the GCF of 87/60, 492/19, 112/519 i.e 1/197220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/60, 492/19, 112/519.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/60,492/19,112/519
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 87/60,492/19,112/519, numerators are 87,492,112
Denominators are 60,19,519
The GCF of 87,492,112 is 1 .
LCM of 60,19,519 is 197220.
The greatest common factor of 87/60,492/19,112/519 = [GCF of 87,492,112]/[LCM of 60,19,519]= 1/197220
Therefore, the GCF of 87/60,492/19,112/519 is 1/197220.
To find the highest common factor of 87,492,112, 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 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The HCF of 87,492,112 is 1.
Lets's calculate GCF of 87,492,112
∴ 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 492
:1,2,3,4,6,12,41,82,123,164,246,492
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 87,492,112 . The biggest common factor number is the GCF number.
So the greatest common factor 87,492,112 is 1.
Lets's calculate LCM of 60,19,519
3 | 60, 19, 519 |
20, 19, 173 |
∴ So the LCM of the given numbers is 3 x 20 x 19 x 173 = 197220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197220
Therefore, the GCF of Fractions 87/60,492/19,112/519 is 1/197220
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 60,19,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,19,519) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(60,19,519) x common factors =1 x 3 = 3
LCM(60,19,519) = ( 60 × 19 × 519 ) / 3
LCM(60,19,519) = 591660 / 3
LCM(60,19,519) = 197220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,492,112?
The HCF of 87,492,112 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 87/60, 492/19, 112/519?
Answer: GCF of Numerators as per given numbers 87/60, 492/19, 112/519 is
GCF of Numerators i.e. for 87,492,112 is 1
LCM of denominators i.e. for 60,19,519 is 197220.
Thus, GCF of Fractions is 1/197220.Finally, GCF of Fractions for 87/60, 492/19, 112/519 is 1/197220.