Use our free GCF of Fractions Calculator tool to compute the GCF of 20/533, 12/607, 238/282 i.e 2/91235742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/533, 12/607, 238/282.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/533,12/607,238/282
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 20/533,12/607,238/282, numerators are 20,12,238
Denominators are 533,607,282
The GCF of 20,12,238 is 2 .
LCM of 533,607,282 is 91235742.
The greatest common factor of 20/533,12/607,238/282 = [GCF of 20,12,238]/[LCM of 533,607,282]= 2/91235742
Therefore, the GCF of 20/533,12/607,238/282 is 2/91235742.
To find the highest common factor of 20,12,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 20,12,238 is 2.
Lets's calculate GCF of 20,12,238
2 | 20, 12, 238 |
10, 6, 119 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 20,12,238 . The biggest common factor number is the GCF number.
So the greatest common factor 20,12,238 is 2.
Lets's calculate LCM of 533,607,282
Given numbers has no common factors except 1. So, there LCM is their product i.e 91235742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91235742
Therefore, the GCF of Fractions 20/533,12/607,238/282 is 2/91235742
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 533,607,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,607,282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,607,282) x common factors =1 x 1 = 1
LCM(533,607,282) = ( 533 × 607 × 282 ) / 1
LCM(533,607,282) = 91235742 / 1
LCM(533,607,282) = 91235742
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,12,238?
The HCF of 20,12,238 is 2
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 20/533, 12/607, 238/282?
Answer: GCF of Numerators as per given numbers 20/533, 12/607, 238/282 is
GCF of Numerators i.e. for 20,12,238 is 2
LCM of denominators i.e. for 533,607,282 is 91235742.
Thus, GCF of Fractions is 2/91235742.Finally, GCF of Fractions for 20/533, 12/607, 238/282 is 2/91235742.