Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9914/651,3894/8571
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 9914,3894
Greatest Common Factor of Numerators i.e. GCF of 9914,3894 is 2 .
LCM of Denominators means LCM of 651,8571 as per the given fractions.
LCM of 651,8571 is 1859907 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9914,3894
2 | 9914, 3894 |
4957, 1947 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9914
List of positive integer factors of 9914 that divides 9914 without a remainder.
1,2,4957,9914
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 9914,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 9914,3894 is 2.
Lets's calculate LCM of 651,8571
3 | 651, 8571 |
217, 2857 |
∴ So the LCM of the given numbers is 3 x 217 x 2857 = 1859907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1859907
Therefore, the GCF of Fractions 9914/651,3894/8571 is 2/1859907
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 651,8571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,8571) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,8571) x common factors =3 x 1 = 3
LCM(651,8571) = ( 651 × 8571 ) / 3
LCM(651,8571) = 5579721 / 3
LCM(651,8571) = 1859907
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 9914/651, 3894/8571?
Answer: GCF of Numerators as per given numbers 9914/651, 3894/8571 is
GCF of Numerators i.e. for 9914,3894 is 2
LCM of denominators i.e. for 651,8571 is 1859907.
Thus, GCF of Fractions is 2/1859907.Finally, GCF of Fractions for 9914/651, 3894/8571 is 2/1859907.