Use our free GCF of Fractions Calculator tool to compute the GCF of 956/717, 855/421 i.e 1/301857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/717, 855/421.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 956/717,855/421
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 956/717,855/421, numerators are 956,855
Denominators are 717,421
The GCF of 956,855 is 1 .
LCM of 717,421 is 301857.
The greatest common factor of 956/717,855/421 = [GCF of 956,855]/[LCM of 717,421]= 1/301857
Therefore, the GCF of 956/717,855/421 is 1/301857.
To find the highest common factor of 956,855, we have to find the factors of both numbers and list the highest common factor.
The factors of 956 are 1, 2, 4, 239, 478, 956
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
The HCF of 956,855 is 1.
Lets's calculate GCF of 956,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 956
:1,2,4,239,478,956
Now, list down the factors of 855
:1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 956,855 . The biggest common factor number is the GCF number.
So the greatest common factor 956,855 is 1.
Lets's calculate LCM of 717,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 301857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301857
Therefore, the GCF of Fractions 956/717,855/421 is 1/301857
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 717,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,421) x common factors =1 x 1 = 1
LCM(717,421) = ( 717 × 421 ) / 1
LCM(717,421) = 301857 / 1
LCM(717,421) = 301857
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 956,855?
The HCF of 956,855 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 956/717, 855/421?
Answer: GCF of Numerators as per given numbers 956/717, 855/421 is
GCF of Numerators i.e. for 956,855 is 1
LCM of denominators i.e. for 717,421 is 301857.
Thus, GCF of Fractions is 1/301857.Finally, GCF of Fractions for 956/717, 855/421 is 1/301857.