Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 388/85,881/94,162/253
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 388,881,162
Greatest Common Factor of Numerators i.e. GCF of 388,881,162 is 1 .
LCM of Denominators means LCM of 85,94,253 as per the given fractions.
LCM of 85,94,253 is 2021470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 388,881,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 388,881,162 . The biggest common factor number is the GCF number.
So the greatest common factor 388,881,162 is 1.
Lets's calculate LCM of 85,94,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 2021470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2021470
Therefore, the GCF of Fractions 388/85,881/94,162/253 is 1/2021470
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 85,94,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,94,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,94,253) x common factors =1 x 1 = 1
LCM(85,94,253) = ( 85 × 94 × 253 ) / 1
LCM(85,94,253) = 2021470 / 1
LCM(85,94,253) = 2021470
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 388/85, 881/94, 162/253?
Answer: GCF of Numerators as per given numbers 388/85, 881/94, 162/253 is
GCF of Numerators i.e. for 388,881,162 is 1
LCM of denominators i.e. for 85,94,253 is 2021470.
Thus, GCF of Fractions is 1/2021470.Finally, GCF of Fractions for 388/85, 881/94, 162/253 is 1/2021470.