Use our free GCF of Fractions Calculator tool to compute the GCF of 86/525, 73/174, 645/284 i.e 1/4323900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/525, 73/174, 645/284.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/525,73/174,645/284
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 86/525,73/174,645/284, numerators are 86,73,645
Denominators are 525,174,284
The GCF of 86,73,645 is 1 .
LCM of 525,174,284 is 4323900.
The greatest common factor of 86/525,73/174,645/284 = [GCF of 86,73,645]/[LCM of 525,174,284]= 1/4323900
Therefore, the GCF of 86/525,73/174,645/284 is 1/4323900.
To find the highest common factor of 86,73,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 73 are 1, 73
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 86,73,645 is 1.
Lets's calculate GCF of 86,73,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 73
:1,73
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 86,73,645 . The biggest common factor number is the GCF number.
So the greatest common factor 86,73,645 is 1.
Lets's calculate LCM of 525,174,284
2 | 525, 174, 284 |
3 | 525, 87, 142 |
175, 29, 142 |
∴ So the LCM of the given numbers is 2 x 3 x 175 x 29 x 142 = 4323900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4323900
Therefore, the GCF of Fractions 86/525,73/174,645/284 is 1/4323900
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 525,174,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,174,284) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(525,174,284) x common factors =1 x 6 = 6
LCM(525,174,284) = ( 525 × 174 × 284 ) / 6
LCM(525,174,284) = 25943400 / 6
LCM(525,174,284) = 4323900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,73,645?
The HCF of 86,73,645 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 86/525, 73/174, 645/284?
Answer: GCF of Numerators as per given numbers 86/525, 73/174, 645/284 is
GCF of Numerators i.e. for 86,73,645 is 1
LCM of denominators i.e. for 525,174,284 is 4323900.
Thus, GCF of Fractions is 1/4323900.Finally, GCF of Fractions for 86/525, 73/174, 645/284 is 1/4323900.