Use our free GCF of Fractions Calculator tool to compute the GCF of 525/368, 785/912 i.e 5/20976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/368, 785/912.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/368,785/912
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 525/368,785/912, numerators are 525,785
Denominators are 368,912
The GCF of 525,785 is 5 .
LCM of 368,912 is 20976.
The greatest common factor of 525/368,785/912 = [GCF of 525,785]/[LCM of 368,912]= 5/20976
Therefore, the GCF of 525/368,785/912 is 5/20976.
To find the highest common factor of 525,785, we have to find the factors of both numbers and list the highest common factor.
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 785 are 1, 5, 157, 785
The HCF of 525,785 is 5.
Lets's calculate GCF of 525,785
5 | 525, 785 |
105, 157 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 785
:1,5,157,785
Greatest Common Factor
We found the factors 525,785 . The biggest common factor number is the GCF number.
So the greatest common factor 525,785 is 5.
Lets's calculate LCM of 368,912
2 | 368, 912 |
2 | 184, 456 |
2 | 92, 228 |
2 | 46, 114 |
23, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 57 = 20976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20976
Therefore, the GCF of Fractions 525/368,785/912 is 5/20976
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 368,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,912) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(368,912) x common factors =16 x 1 = 16
LCM(368,912) = ( 368 × 912 ) / 16
LCM(368,912) = 335616 / 16
LCM(368,912) = 20976
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 525,785?
The HCF of 525,785 is 5
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 525/368, 785/912?
Answer: GCF of Numerators as per given numbers 525/368, 785/912 is
GCF of Numerators i.e. for 525,785 is 5
LCM of denominators i.e. for 368,912 is 20976.
Thus, GCF of Fractions is 5/20976.Finally, GCF of Fractions for 525/368, 785/912 is 5/20976.