Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/91,67/53,205/188
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 47,67,205
Greatest Common Factor of Numerators i.e. GCF of 47,67,205 is 1 .
LCM of Denominators means LCM of 91,53,188 as per the given fractions.
LCM of 91,53,188 is 906724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,67,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 47,67,205 . The biggest common factor number is the GCF number.
So the greatest common factor 47,67,205 is 1.
Lets's calculate LCM of 91,53,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 906724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/906724
Therefore, the GCF of Fractions 47/91,67/53,205/188 is 1/906724
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 91,53,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,53,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,53,188) x common factors =1 x 1 = 1
LCM(91,53,188) = ( 91 × 53 × 188 ) / 1
LCM(91,53,188) = 906724 / 1
LCM(91,53,188) = 906724
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 47/91, 67/53, 205/188?
Answer: GCF of Numerators as per given numbers 47/91, 67/53, 205/188 is
GCF of Numerators i.e. for 47,67,205 is 1
LCM of denominators i.e. for 91,53,188 is 906724.
Thus, GCF of Fractions is 1/906724.Finally, GCF of Fractions for 47/91, 67/53, 205/188 is 1/906724.