Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 855/50,905/651
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 855,905
Greatest Common Factor of Numerators i.e. GCF of 855,905 is 5 .
LCM of Denominators means LCM of 50,651 as per the given fractions.
LCM of 50,651 is 32550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 855,905
5 | 855, 905 |
171, 181 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 855,905 . The biggest common factor number is the GCF number.
So the greatest common factor 855,905 is 5.
Lets's calculate LCM of 50,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 32550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/32550
Therefore, the GCF of Fractions 855/50,905/651 is 5/32550
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 50,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,651) x common factors =1 x 1 = 1
LCM(50,651) = ( 50 × 651 ) / 1
LCM(50,651) = 32550 / 1
LCM(50,651) = 32550
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 855/50, 905/651?
Answer: GCF of Numerators as per given numbers 855/50, 905/651 is
GCF of Numerators i.e. for 855,905 is 5
LCM of denominators i.e. for 50,651 is 32550.
Thus, GCF of Fractions is 5/32550.Finally, GCF of Fractions for 855/50, 905/651 is 5/32550.