Use our free GCF of Fractions Calculator tool to compute the GCF of 52/86, 36/74, 49/936 i.e 1/1489176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/86, 36/74, 49/936.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/86,36/74,49/936
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 52/86,36/74,49/936, numerators are 52,36,49
Denominators are 86,74,936
The GCF of 52,36,49 is 1 .
LCM of 86,74,936 is 1489176.
The greatest common factor of 52/86,36/74,49/936 = [GCF of 52,36,49]/[LCM of 86,74,936]= 1/1489176
Therefore, the GCF of 52/86,36/74,49/936 is 1/1489176.
To find the highest common factor of 52,36,49, we have to find the factors of both numbers and list the highest common factor.
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 49 are 1, 7, 49
The HCF of 52,36,49 is 1.
Lets's calculate GCF of 52,36,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 49
:1,7,49
Greatest Common Factor
We found the factors 52,36,49 . The biggest common factor number is the GCF number.
So the greatest common factor 52,36,49 is 1.
Lets's calculate LCM of 86,74,936
2 | 86, 74, 936 |
43, 37, 468 |
∴ So the LCM of the given numbers is 2 x 43 x 37 x 468 = 1489176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1489176
Therefore, the GCF of Fractions 52/86,36/74,49/936 is 1/1489176
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 86,74,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,74,936) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,74,936) x common factors =2 x 2 = 4
LCM(86,74,936) = ( 86 × 74 × 936 ) / 4
LCM(86,74,936) = 5956704 / 4
LCM(86,74,936) = 1489176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 52,36,49?
The HCF of 52,36,49 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 52/86, 36/74, 49/936?
Answer: GCF of Numerators as per given numbers 52/86, 36/74, 49/936 is
GCF of Numerators i.e. for 52,36,49 is 1
LCM of denominators i.e. for 86,74,936 is 1489176.
Thus, GCF of Fractions is 1/1489176.Finally, GCF of Fractions for 52/86, 36/74, 49/936 is 1/1489176.