Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 956/509,3894/217
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 956,3894
Greatest Common Factor of Numerators i.e. GCF of 956,3894 is 2 .
LCM of Denominators means LCM of 509,217 as per the given fractions.
LCM of 509,217 is 110453 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 956,3894
2 | 956, 3894 |
478, 1947 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 3894
List of positive integer factors of 3894 that divides 3894 without a remainder.
1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Greatest Common Factor
We found the factors 956,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 956,3894 is 2.
Lets's calculate LCM of 509,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 110453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110453
Therefore, the GCF of Fractions 956/509,3894/217 is 2/110453
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 509,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,217) x common factors =1 x 1 = 1
LCM(509,217) = ( 509 × 217 ) / 1
LCM(509,217) = 110453 / 1
LCM(509,217) = 110453
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 956/509, 3894/217?
Answer: GCF of Numerators as per given numbers 956/509, 3894/217 is
GCF of Numerators i.e. for 956,3894 is 2
LCM of denominators i.e. for 509,217 is 110453.
Thus, GCF of Fractions is 2/110453.Finally, GCF of Fractions for 956/509, 3894/217 is 2/110453.