Use our free GCF of Fractions Calculator tool to compute the GCF of 20/27, 519/49, 537/996 i.e 1/439236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/27, 519/49, 537/996.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/27,519/49,537/996
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 20/27,519/49,537/996, numerators are 20,519,537
Denominators are 27,49,996
The GCF of 20,519,537 is 1 .
LCM of 27,49,996 is 439236.
The greatest common factor of 20/27,519/49,537/996 = [GCF of 20,519,537]/[LCM of 27,49,996]= 1/439236
Therefore, the GCF of 20/27,519/49,537/996 is 1/439236.
To find the highest common factor of 20,519,537, 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 519 are 1, 3, 173, 519
The factors of 537 are 1, 3, 179, 537
The HCF of 20,519,537 is 1.
Lets's calculate GCF of 20,519,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 537
:1,3,179,537
Greatest Common Factor
We found the factors 20,519,537 . The biggest common factor number is the GCF number.
So the greatest common factor 20,519,537 is 1.
Lets's calculate LCM of 27,49,996
3 | 27, 49, 996 |
9, 49, 332 |
∴ So the LCM of the given numbers is 3 x 9 x 49 x 332 = 439236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439236
Therefore, the GCF of Fractions 20/27,519/49,537/996 is 1/439236
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 27,49,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,49,996) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,49,996) x common factors =1 x 3 = 3
LCM(27,49,996) = ( 27 × 49 × 996 ) / 3
LCM(27,49,996) = 1317708 / 3
LCM(27,49,996) = 439236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,519,537?
The HCF of 20,519,537 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 20/27, 519/49, 537/996?
Answer: GCF of Numerators as per given numbers 20/27, 519/49, 537/996 is
GCF of Numerators i.e. for 20,519,537 is 1
LCM of denominators i.e. for 27,49,996 is 439236.
Thus, GCF of Fractions is 1/439236.Finally, GCF of Fractions for 20/27, 519/49, 537/996 is 1/439236.