Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/71,22/867,243/860
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 69,22,243
Greatest Common Factor of Numerators i.e. GCF of 69,22,243 is 1 .
LCM of Denominators means LCM of 71,867,860 as per the given fractions.
LCM of 71,867,860 is 52939020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,22,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 69,22,243 . The biggest common factor number is the GCF number.
So the greatest common factor 69,22,243 is 1.
Lets's calculate LCM of 71,867,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 52939020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52939020
Therefore, the GCF of Fractions 69/71,22/867,243/860 is 1/52939020
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 71,867,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,867,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,867,860) x common factors =1 x 1 = 1
LCM(71,867,860) = ( 71 × 867 × 860 ) / 1
LCM(71,867,860) = 52939020 / 1
LCM(71,867,860) = 52939020
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 69/71, 22/867, 243/860?
Answer: GCF of Numerators as per given numbers 69/71, 22/867, 243/860 is
GCF of Numerators i.e. for 69,22,243 is 1
LCM of denominators i.e. for 71,867,860 is 52939020.
Thus, GCF of Fractions is 1/52939020.Finally, GCF of Fractions for 69/71, 22/867, 243/860 is 1/52939020.