Use our free GCF of Fractions Calculator tool to compute the GCF of 204/394, 952/687 i.e 68/270678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/394, 952/687.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/394,952/687
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 204/394,952/687, numerators are 204,952
Denominators are 394,687
The GCF of 204,952 is 68 .
LCM of 394,687 is 270678.
The greatest common factor of 204/394,952/687 = [GCF of 204,952]/[LCM of 394,687]= 68/270678
Therefore, the GCF of 204/394,952/687 is 68/270678.
To find the highest common factor of 204,952, we have to find the factors of both numbers and list the highest common factor.
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The HCF of 204,952 is 68.
Lets's calculate GCF of 204,952
2 | 204, 952 |
2 | 102, 476 |
17 | 51, 238 |
3, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 204,952 . The biggest common factor number is the GCF number.
So the greatest common factor 204,952 is 68.
Lets's calculate LCM of 394,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 270678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/270678
Therefore, the GCF of Fractions 204/394,952/687 is 68/270678
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 394,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,687) x common factors =1 x 1 = 1
LCM(394,687) = ( 394 × 687 ) / 1
LCM(394,687) = 270678 / 1
LCM(394,687) = 270678
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 204,952?
The HCF of 204,952 is 68
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 204/394, 952/687?
Answer: GCF of Numerators as per given numbers 204/394, 952/687 is
GCF of Numerators i.e. for 204,952 is 68
LCM of denominators i.e. for 394,687 is 270678.
Thus, GCF of Fractions is 68/270678.Finally, GCF of Fractions for 204/394, 952/687 is 68/270678.