Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/56,114/13,187/219
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 887,114,187
Greatest Common Factor of Numerators i.e. GCF of 887,114,187 is 1 .
LCM of Denominators means LCM of 56,13,219 as per the given fractions.
LCM of 56,13,219 is 159432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 887,114,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 887,114,187 . The biggest common factor number is the GCF number.
So the greatest common factor 887,114,187 is 1.
Lets's calculate LCM of 56,13,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 159432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159432
Therefore, the GCF of Fractions 887/56,114/13,187/219 is 1/159432
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 56,13,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,13,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,13,219) x common factors =1 x 1 = 1
LCM(56,13,219) = ( 56 × 13 × 219 ) / 1
LCM(56,13,219) = 159432 / 1
LCM(56,13,219) = 159432
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 887/56, 114/13, 187/219?
Answer: GCF of Numerators as per given numbers 887/56, 114/13, 187/219 is
GCF of Numerators i.e. for 887,114,187 is 1
LCM of denominators i.e. for 56,13,219 is 159432.
Thus, GCF of Fractions is 1/159432.Finally, GCF of Fractions for 887/56, 114/13, 187/219 is 1/159432.