Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/817,66/655,222/764
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 41,66,222
Greatest Common Factor of Numerators i.e. GCF of 41,66,222 is 1 .
LCM of Denominators means LCM of 817,655,764 as per the given fractions.
LCM of 817,655,764 is 408843140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,66,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
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 41,66,222 . The biggest common factor number is the GCF number.
So the greatest common factor 41,66,222 is 1.
Lets's calculate LCM of 817,655,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 408843140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/408843140
Therefore, the GCF of Fractions 41/817,66/655,222/764 is 1/408843140
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 817,655,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,655,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,655,764) x common factors =1 x 1 = 1
LCM(817,655,764) = ( 817 × 655 × 764 ) / 1
LCM(817,655,764) = 408843140 / 1
LCM(817,655,764) = 408843140
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 41/817, 66/655, 222/764?
Answer: GCF of Numerators as per given numbers 41/817, 66/655, 222/764 is
GCF of Numerators i.e. for 41,66,222 is 1
LCM of denominators i.e. for 817,655,764 is 408843140.
Thus, GCF of Fractions is 1/408843140.Finally, GCF of Fractions for 41/817, 66/655, 222/764 is 1/408843140.