Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 805/59,207/28,114/887
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 805,207,114
Greatest Common Factor of Numerators i.e. GCF of 805,207,114 is 1 .
LCM of Denominators means LCM of 59,28,887 as per the given fractions.
LCM of 59,28,887 is 1465324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 805,207,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 805,207,114 . The biggest common factor number is the GCF number.
So the greatest common factor 805,207,114 is 1.
Lets's calculate LCM of 59,28,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 1465324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1465324
Therefore, the GCF of Fractions 805/59,207/28,114/887 is 1/1465324
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 59,28,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,28,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,28,887) x common factors =1 x 1 = 1
LCM(59,28,887) = ( 59 × 28 × 887 ) / 1
LCM(59,28,887) = 1465324 / 1
LCM(59,28,887) = 1465324
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 805/59, 207/28, 114/887?
Answer: GCF of Numerators as per given numbers 805/59, 207/28, 114/887 is
GCF of Numerators i.e. for 805,207,114 is 1
LCM of denominators i.e. for 59,28,887 is 1465324.
Thus, GCF of Fractions is 1/1465324.Finally, GCF of Fractions for 805/59, 207/28, 114/887 is 1/1465324.