Use our free GCF of Fractions Calculator tool to compute the GCF of 785/645, 327/516 i.e 1/2580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 785/645, 327/516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 785/645,327/516
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 785/645,327/516, numerators are 785,327
Denominators are 645,516
The GCF of 785,327 is 1 .
LCM of 645,516 is 2580.
The greatest common factor of 785/645,327/516 = [GCF of 785,327]/[LCM of 645,516]= 1/2580
Therefore, the GCF of 785/645,327/516 is 1/2580.
To find the highest common factor of 785,327, we have to find the factors of both numbers and list the highest common factor.
The factors of 785 are 1, 5, 157, 785
The factors of 327 are 1, 3, 109, 327
The HCF of 785,327 is 1.
Lets's calculate GCF of 785,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 785
:1,5,157,785
Now, list down the factors of 327
:1,3,109,327
Greatest Common Factor
We found the factors 785,327 . The biggest common factor number is the GCF number.
So the greatest common factor 785,327 is 1.
Lets's calculate LCM of 645,516
3 | 645, 516 |
43 | 215, 172 |
5, 4 |
∴ So the LCM of the given numbers is 3 x 43 x 5 x 4 = 2580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2580
Therefore, the GCF of Fractions 785/645,327/516 is 1/2580
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 645,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,516) = 129
common factors(in case of two or more numbers have common factors) = 1
GCF(645,516) x common factors =129 x 1 = 129
LCM(645,516) = ( 645 × 516 ) / 129
LCM(645,516) = 332820 / 129
LCM(645,516) = 2580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 785,327?
The HCF of 785,327 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 785/645, 327/516?
Answer: GCF of Numerators as per given numbers 785/645, 327/516 is
GCF of Numerators i.e. for 785,327 is 1
LCM of denominators i.e. for 645,516 is 2580.
Thus, GCF of Fractions is 1/2580.Finally, GCF of Fractions for 785/645, 327/516 is 1/2580.