Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/85,90/27,222/989
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 27,90,222
Greatest Common Factor of Numerators i.e. GCF of 27,90,222 is 3 .
LCM of Denominators means LCM of 85,27,989 as per the given fractions.
LCM of 85,27,989 is 2269755 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,90,222
3 | 27, 90, 222 |
9, 30, 74 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 27,90,222 . The biggest common factor number is the GCF number.
So the greatest common factor 27,90,222 is 3.
Lets's calculate LCM of 85,27,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 2269755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2269755
Therefore, the GCF of Fractions 27/85,90/27,222/989 is 3/2269755
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 85,27,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,27,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,27,989) x common factors =1 x 1 = 1
LCM(85,27,989) = ( 85 × 27 × 989 ) / 1
LCM(85,27,989) = 2269755 / 1
LCM(85,27,989) = 2269755
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 27/85, 90/27, 222/989?
Answer: GCF of Numerators as per given numbers 27/85, 90/27, 222/989 is
GCF of Numerators i.e. for 27,90,222 is 3
LCM of denominators i.e. for 85,27,989 is 2269755.
Thus, GCF of Fractions is 3/2269755.Finally, GCF of Fractions for 27/85, 90/27, 222/989 is 3/2269755.