Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/797,5905/450
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 425,5905
Greatest Common Factor of Numerators i.e. GCF of 425,5905 is 5 .
LCM of Denominators means LCM of 797,450 as per the given fractions.
LCM of 797,450 is 358650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 425,5905
5 | 425, 5905 |
85, 1181 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 5905
List of positive integer factors of 5905 that divides 5905 without a remainder.
1,5,1181,5905
Greatest Common Factor
We found the factors 425,5905 . The biggest common factor number is the GCF number.
So the greatest common factor 425,5905 is 5.
Lets's calculate LCM of 797,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 358650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/358650
Therefore, the GCF of Fractions 425/797,5905/450 is 5/358650
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 797,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,450) x common factors =1 x 1 = 1
LCM(797,450) = ( 797 × 450 ) / 1
LCM(797,450) = 358650 / 1
LCM(797,450) = 358650
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 425/797, 5905/450?
Answer: GCF of Numerators as per given numbers 425/797, 5905/450 is
GCF of Numerators i.e. for 425,5905 is 5
LCM of denominators i.e. for 797,450 is 358650.
Thus, GCF of Fractions is 5/358650.Finally, GCF of Fractions for 425/797, 5905/450 is 5/358650.