Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1934/17,8946/947
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 1934,8946
Greatest Common Factor of Numerators i.e. GCF of 1934,8946 is 2 .
LCM of Denominators means LCM of 17,947 as per the given fractions.
LCM of 17,947 is 16099 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1934,8946
2 | 1934, 8946 |
967, 4473 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1934
List of positive integer factors of 1934 that divides 1934 without a remainder.
1,2,967,1934
Factors of 8946
List of positive integer factors of 8946 that divides 8946 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946
Greatest Common Factor
We found the factors 1934,8946 . The biggest common factor number is the GCF number.
So the greatest common factor 1934,8946 is 2.
Lets's calculate LCM of 17,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 16099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16099
Therefore, the GCF of Fractions 1934/17,8946/947 is 2/16099
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 17,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,947) x common factors =1 x 1 = 1
LCM(17,947) = ( 17 × 947 ) / 1
LCM(17,947) = 16099 / 1
LCM(17,947) = 16099
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 1934/17, 8946/947?
Answer: GCF of Numerators as per given numbers 1934/17, 8946/947 is
GCF of Numerators i.e. for 1934,8946 is 2
LCM of denominators i.e. for 17,947 is 16099.
Thus, GCF of Fractions is 2/16099.Finally, GCF of Fractions for 1934/17, 8946/947 is 2/16099.