Use our free GCF of Fractions Calculator tool to compute the GCF of 37/901, 14/284, 564/281 i.e 1/71903404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/901, 14/284, 564/281.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/901,14/284,564/281
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 37/901,14/284,564/281, numerators are 37,14,564
Denominators are 901,284,281
The GCF of 37,14,564 is 1 .
LCM of 901,284,281 is 71903404.
The greatest common factor of 37/901,14/284,564/281 = [GCF of 37,14,564]/[LCM of 901,284,281]= 1/71903404
Therefore, the GCF of 37/901,14/284,564/281 is 1/71903404.
To find the highest common factor of 37,14,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 14 are 1, 2, 7, 14
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 37,14,564 is 1.
Lets's calculate GCF of 37,14,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 37
:1,37
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 37,14,564 . The biggest common factor number is the GCF number.
So the greatest common factor 37,14,564 is 1.
Lets's calculate LCM of 901,284,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 71903404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71903404
Therefore, the GCF of Fractions 37/901,14/284,564/281 is 1/71903404
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 901,284,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,284,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,284,281) x common factors =1 x 1 = 1
LCM(901,284,281) = ( 901 × 284 × 281 ) / 1
LCM(901,284,281) = 71903404 / 1
LCM(901,284,281) = 71903404
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 37,14,564?
The HCF of 37,14,564 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 37/901, 14/284, 564/281?
Answer: GCF of Numerators as per given numbers 37/901, 14/284, 564/281 is
GCF of Numerators i.e. for 37,14,564 is 1
LCM of denominators i.e. for 901,284,281 is 71903404.
Thus, GCF of Fractions is 1/71903404.Finally, GCF of Fractions for 37/901, 14/284, 564/281 is 1/71903404.