Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 305/922,427/725
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 305,427
Greatest Common Factor of Numerators i.e. GCF of 305,427 is 61 .
LCM of Denominators means LCM of 922,725 as per the given fractions.
LCM of 922,725 is 668450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 305,427
61 | 305, 427 |
5, 7 |
∴ So the GCF of the given numbers is 61 = 61
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 305,427 . The biggest common factor number is the GCF number.
So the greatest common factor 305,427 is 61.
Lets's calculate LCM of 922,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 668450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/668450
Therefore, the GCF of Fractions 305/922,427/725 is 61/668450
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 922,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,725) x common factors =1 x 1 = 1
LCM(922,725) = ( 922 × 725 ) / 1
LCM(922,725) = 668450 / 1
LCM(922,725) = 668450
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 305/922, 427/725?
Answer: GCF of Numerators as per given numbers 305/922, 427/725 is
GCF of Numerators i.e. for 305,427 is 61
LCM of denominators i.e. for 922,725 is 668450.
Thus, GCF of Fractions is 61/668450.Finally, GCF of Fractions for 305/922, 427/725 is 61/668450.