Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8835/679,9853/7947
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 8835,9853
Greatest Common Factor of Numerators i.e. GCF of 8835,9853 is 1 .
LCM of Denominators means LCM of 679,7947 as per the given fractions.
LCM of 679,7947 is 5396013 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8835,9853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8835
List of positive integer factors of 8835 that divides 8835 without a remainder.
1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835
Factors of 9853
List of positive integer factors of 9853 that divides 9853 without a remainder.
1,59,167,9853
Greatest Common Factor
We found the factors 8835,9853 . The biggest common factor number is the GCF number.
So the greatest common factor 8835,9853 is 1.
Lets's calculate LCM of 679,7947
Given numbers has no common factors except 1. So, there LCM is their product i.e 5396013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5396013
Therefore, the GCF of Fractions 8835/679,9853/7947 is 1/5396013
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 679,7947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,7947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,7947) x common factors =1 x 1 = 1
LCM(679,7947) = ( 679 × 7947 ) / 1
LCM(679,7947) = 5396013 / 1
LCM(679,7947) = 5396013
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 8835/679, 9853/7947?
Answer: GCF of Numerators as per given numbers 8835/679, 9853/7947 is
GCF of Numerators i.e. for 8835,9853 is 1
LCM of denominators i.e. for 679,7947 is 5396013.
Thus, GCF of Fractions is 1/5396013.Finally, GCF of Fractions for 8835/679, 9853/7947 is 1/5396013.