Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/677,121/568
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 894,121
Greatest Common Factor of Numerators i.e. GCF of 894,121 is 1 .
LCM of Denominators means LCM of 677,568 as per the given fractions.
LCM of 677,568 is 384536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 894,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 894,121 . The biggest common factor number is the GCF number.
So the greatest common factor 894,121 is 1.
Lets's calculate LCM of 677,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 384536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384536
Therefore, the GCF of Fractions 894/677,121/568 is 1/384536
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 677,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,568) x common factors =1 x 1 = 1
LCM(677,568) = ( 677 × 568 ) / 1
LCM(677,568) = 384536 / 1
LCM(677,568) = 384536
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 894/677, 121/568?
Answer: GCF of Numerators as per given numbers 894/677, 121/568 is
GCF of Numerators i.e. for 894,121 is 1
LCM of denominators i.e. for 677,568 is 384536.
Thus, GCF of Fractions is 1/384536.Finally, GCF of Fractions for 894/677, 121/568 is 1/384536.