Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/41,87/22,977/29
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 59,87,977
Greatest Common Factor of Numerators i.e. GCF of 59,87,977 is 1 .
LCM of Denominators means LCM of 41,22,29 as per the given fractions.
LCM of 41,22,29 is 26158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,87,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Greatest Common Factor
We found the factors 59,87,977 . The biggest common factor number is the GCF number.
So the greatest common factor 59,87,977 is 1.
Lets's calculate LCM of 41,22,29
Given numbers has no common factors except 1. So, there LCM is their product i.e 26158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26158
Therefore, the GCF of Fractions 59/41,87/22,977/29 is 1/26158
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 41,22,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,22,29) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,22,29) x common factors =1 x 1 = 1
LCM(41,22,29) = ( 41 × 22 × 29 ) / 1
LCM(41,22,29) = 26158 / 1
LCM(41,22,29) = 26158
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 59/41, 87/22, 977/29?
Answer: GCF of Numerators as per given numbers 59/41, 87/22, 977/29 is
GCF of Numerators i.e. for 59,87,977 is 1
LCM of denominators i.e. for 41,22,29 is 26158.
Thus, GCF of Fractions is 1/26158.Finally, GCF of Fractions for 59/41, 87/22, 977/29 is 1/26158.