Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/21,58/19,40/25,277/83
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 83,58,40,277
Greatest Common Factor of Numerators i.e. GCF of 83,58,40,277 is 1 .
LCM of Denominators means LCM of 21,19,25,83 as per the given fractions.
LCM of 21,19,25,83 is 827925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,58,40,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 83,58,40,277 . The biggest common factor number is the GCF number.
So the greatest common factor 83,58,40,277 is 1.
Lets's calculate LCM of 21,19,25,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 827925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/827925
Therefore, the GCF of Fractions 83/21,58/19,40/25,277/83 is 1/827925
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 21,19,25,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,19,25,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,19,25,83) x common factors =1 x 1 = 1
LCM(21,19,25,83) = ( 21 × 19 × 25 × 83 ) / 1
LCM(21,19,25,83) = 827925 / 1
LCM(21,19,25,83) = 827925
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 83/21, 58/19, 40/25, 277/83?
Answer: GCF of Numerators as per given numbers 83/21, 58/19, 40/25, 277/83 is
GCF of Numerators i.e. for 83,58,40,277 is 1
LCM of denominators i.e. for 21,19,25,83 is 827925.
Thus, GCF of Fractions is 1/827925.Finally, GCF of Fractions for 83/21, 58/19, 40/25, 277/83 is 1/827925.