Use our free GCF of Fractions Calculator tool to compute the GCF of 39/649, 37/991, 575/164 i.e 1/105478076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/649, 37/991, 575/164.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/649,37/991,575/164
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 39/649,37/991,575/164, numerators are 39,37,575
Denominators are 649,991,164
The GCF of 39,37,575 is 1 .
LCM of 649,991,164 is 105478076.
The greatest common factor of 39/649,37/991,575/164 = [GCF of 39,37,575]/[LCM of 649,991,164]= 1/105478076
Therefore, the GCF of 39/649,37/991,575/164 is 1/105478076.
To find the highest common factor of 39,37,575, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 37 are 1, 37
The factors of 575 are 1, 5, 23, 25, 115, 575
The HCF of 39,37,575 is 1.
Lets's calculate GCF of 39,37,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 37
:1,37
Now, list down the factors of 575
:1,5,23,25,115,575
Greatest Common Factor
We found the factors 39,37,575 . The biggest common factor number is the GCF number.
So the greatest common factor 39,37,575 is 1.
Lets's calculate LCM of 649,991,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 105478076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105478076
Therefore, the GCF of Fractions 39/649,37/991,575/164 is 1/105478076
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 649,991,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,991,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,991,164) x common factors =1 x 1 = 1
LCM(649,991,164) = ( 649 × 991 × 164 ) / 1
LCM(649,991,164) = 105478076 / 1
LCM(649,991,164) = 105478076
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,37,575?
The HCF of 39,37,575 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 39/649, 37/991, 575/164?
Answer: GCF of Numerators as per given numbers 39/649, 37/991, 575/164 is
GCF of Numerators i.e. for 39,37,575 is 1
LCM of denominators i.e. for 649,991,164 is 105478076.
Thus, GCF of Fractions is 1/105478076.Finally, GCF of Fractions for 39/649, 37/991, 575/164 is 1/105478076.