Use our free GCF of Fractions Calculator tool to compute the GCF of 28/59, 850/13, 646/696 i.e 2/533832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/59, 850/13, 646/696.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/59,850/13,646/696
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 28/59,850/13,646/696, numerators are 28,850,646
Denominators are 59,13,696
The GCF of 28,850,646 is 2 .
LCM of 59,13,696 is 533832.
The greatest common factor of 28/59,850/13,646/696 = [GCF of 28,850,646]/[LCM of 59,13,696]= 2/533832
Therefore, the GCF of 28/59,850/13,646/696 is 2/533832.
To find the highest common factor of 28,850,646, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The HCF of 28,850,646 is 2.
Lets's calculate GCF of 28,850,646
2 | 28, 850, 646 |
14, 425, 323 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 28,850,646 . The biggest common factor number is the GCF number.
So the greatest common factor 28,850,646 is 2.
Lets's calculate LCM of 59,13,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 533832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/533832
Therefore, the GCF of Fractions 28/59,850/13,646/696 is 2/533832
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 59,13,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,13,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,13,696) x common factors =1 x 1 = 1
LCM(59,13,696) = ( 59 × 13 × 696 ) / 1
LCM(59,13,696) = 533832 / 1
LCM(59,13,696) = 533832
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,850,646?
The HCF of 28,850,646 is 2
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 28/59, 850/13, 646/696?
Answer: GCF of Numerators as per given numbers 28/59, 850/13, 646/696 is
GCF of Numerators i.e. for 28,850,646 is 2
LCM of denominators i.e. for 59,13,696 is 533832.
Thus, GCF of Fractions is 2/533832.Finally, GCF of Fractions for 28/59, 850/13, 646/696 is 2/533832.