Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5988/659,9977/143
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 5988,9977
Greatest Common Factor of Numerators i.e. GCF of 5988,9977 is 1 .
LCM of Denominators means LCM of 659,143 as per the given fractions.
LCM of 659,143 is 94237 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5988,9977
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5988
List of positive integer factors of 5988 that divides 5988 without a remainder.
1,2,3,4,6,12,499,998,1497,1996,2994,5988
Factors of 9977
List of positive integer factors of 9977 that divides 9977 without a remainder.
1,11,907,9977
Greatest Common Factor
We found the factors 5988,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 5988,9977 is 1.
Lets's calculate LCM of 659,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 94237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94237
Therefore, the GCF of Fractions 5988/659,9977/143 is 1/94237
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 659,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,143) x common factors =1 x 1 = 1
LCM(659,143) = ( 659 × 143 ) / 1
LCM(659,143) = 94237 / 1
LCM(659,143) = 94237
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 5988/659, 9977/143?
Answer: GCF of Numerators as per given numbers 5988/659, 9977/143 is
GCF of Numerators i.e. for 5988,9977 is 1
LCM of denominators i.e. for 659,143 is 94237.
Thus, GCF of Fractions is 1/94237.Finally, GCF of Fractions for 5988/659, 9977/143 is 1/94237.