Use our free GCF of Fractions Calculator tool to compute the GCF of 75/52, 157/43, 845/516 i.e 1/6708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/52, 157/43, 845/516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/52,157/43,845/516
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 75/52,157/43,845/516, numerators are 75,157,845
Denominators are 52,43,516
The GCF of 75,157,845 is 1 .
LCM of 52,43,516 is 6708.
The greatest common factor of 75/52,157/43,845/516 = [GCF of 75,157,845]/[LCM of 52,43,516]= 1/6708
Therefore, the GCF of 75/52,157/43,845/516 is 1/6708.
To find the highest common factor of 75,157,845, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 157 are 1, 157
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 75,157,845 is 1.
Lets's calculate GCF of 75,157,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 157
:1,157
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 75,157,845 . The biggest common factor number is the GCF number.
So the greatest common factor 75,157,845 is 1.
Lets's calculate LCM of 52,43,516
2 | 52, 43, 516 |
2 | 26, 43, 258 |
43 | 13, 43, 129 |
13, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 13 x 1 x 3 = 6708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6708
Therefore, the GCF of Fractions 75/52,157/43,845/516 is 1/6708
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 52,43,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,43,516) = 1
common factors(in case of two or more numbers have common factors) = 172
GCF(52,43,516) x common factors =1 x 172 = 172
LCM(52,43,516) = ( 52 × 43 × 516 ) / 172
LCM(52,43,516) = 1153776 / 172
LCM(52,43,516) = 6708
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 75,157,845?
The HCF of 75,157,845 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 75/52, 157/43, 845/516?
Answer: GCF of Numerators as per given numbers 75/52, 157/43, 845/516 is
GCF of Numerators i.e. for 75,157,845 is 1
LCM of denominators i.e. for 52,43,516 is 6708.
Thus, GCF of Fractions is 1/6708.Finally, GCF of Fractions for 75/52, 157/43, 845/516 is 1/6708.