Use our free GCF of Fractions Calculator tool to compute the GCF of 13/152, 892/957, 168/522 i.e 1/436392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/152, 892/957, 168/522.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/152,892/957,168/522
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 13/152,892/957,168/522, numerators are 13,892,168
Denominators are 152,957,522
The GCF of 13,892,168 is 1 .
LCM of 152,957,522 is 436392.
The greatest common factor of 13/152,892/957,168/522 = [GCF of 13,892,168]/[LCM of 152,957,522]= 1/436392
Therefore, the GCF of 13/152,892/957,168/522 is 1/436392.
To find the highest common factor of 13,892,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 892 are 1, 2, 4, 223, 446, 892
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 13,892,168 is 1.
Lets's calculate GCF of 13,892,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 892
:1,2,4,223,446,892
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 13,892,168 . The biggest common factor number is the GCF number.
So the greatest common factor 13,892,168 is 1.
Lets's calculate LCM of 152,957,522
2 | 152, 957, 522 |
3 | 76, 957, 261 |
29 | 76, 319, 87 |
76, 11, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 76 x 11 x 3 = 436392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436392
Therefore, the GCF of Fractions 13/152,892/957,168/522 is 1/436392
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 152,957,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,957,522) = 1
common factors(in case of two or more numbers have common factors) = 174
GCF(152,957,522) x common factors =1 x 174 = 174
LCM(152,957,522) = ( 152 × 957 × 522 ) / 174
LCM(152,957,522) = 75932208 / 174
LCM(152,957,522) = 436392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,892,168?
The HCF of 13,892,168 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 13/152, 892/957, 168/522?
Answer: GCF of Numerators as per given numbers 13/152, 892/957, 168/522 is
GCF of Numerators i.e. for 13,892,168 is 1
LCM of denominators i.e. for 152,957,522 is 436392.
Thus, GCF of Fractions is 1/436392.Finally, GCF of Fractions for 13/152, 892/957, 168/522 is 1/436392.