Use our free GCF of Fractions Calculator tool to compute the GCF of 858/527, 351/956 i.e 39/503812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 858/527, 351/956.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 858/527,351/956
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 858/527,351/956, numerators are 858,351
Denominators are 527,956
The GCF of 858,351 is 39 .
LCM of 527,956 is 503812.
The greatest common factor of 858/527,351/956 = [GCF of 858,351]/[LCM of 527,956]= 39/503812
Therefore, the GCF of 858/527,351/956 is 39/503812.
To find the highest common factor of 858,351, we have to find the factors of both numbers and list the highest common factor.
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The HCF of 858,351 is 39.
Lets's calculate GCF of 858,351
3 | 858, 351 |
13 | 286, 117 |
22, 9 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 858,351 . The biggest common factor number is the GCF number.
So the greatest common factor 858,351 is 39.
Lets's calculate LCM of 527,956
Given numbers has no common factors except 1. So, there LCM is their product i.e 503812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/503812
Therefore, the GCF of Fractions 858/527,351/956 is 39/503812
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 527,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,956) x common factors =1 x 1 = 1
LCM(527,956) = ( 527 × 956 ) / 1
LCM(527,956) = 503812 / 1
LCM(527,956) = 503812
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 858,351?
The HCF of 858,351 is 39
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 858/527, 351/956?
Answer: GCF of Numerators as per given numbers 858/527, 351/956 is
GCF of Numerators i.e. for 858,351 is 39
LCM of denominators i.e. for 527,956 is 503812.
Thus, GCF of Fractions is 39/503812.Finally, GCF of Fractions for 858/527, 351/956 is 39/503812.