Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/79,121/95,733/189
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 638,121,733
Greatest Common Factor of Numerators i.e. GCF of 638,121,733 is 1 .
LCM of Denominators means LCM of 79,95,189 as per the given fractions.
LCM of 79,95,189 is 1418445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 638,121,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 638,121,733 . The biggest common factor number is the GCF number.
So the greatest common factor 638,121,733 is 1.
Lets's calculate LCM of 79,95,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 1418445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1418445
Therefore, the GCF of Fractions 638/79,121/95,733/189 is 1/1418445
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 79,95,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,95,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,95,189) x common factors =1 x 1 = 1
LCM(79,95,189) = ( 79 × 95 × 189 ) / 1
LCM(79,95,189) = 1418445 / 1
LCM(79,95,189) = 1418445
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 638/79, 121/95, 733/189?
Answer: GCF of Numerators as per given numbers 638/79, 121/95, 733/189 is
GCF of Numerators i.e. for 638,121,733 is 1
LCM of denominators i.e. for 79,95,189 is 1418445.
Thus, GCF of Fractions is 1/1418445.Finally, GCF of Fractions for 638/79, 121/95, 733/189 is 1/1418445.