Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/75,66/32,45/461,378/919
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 2,66,45,378
Greatest Common Factor of Numerators i.e. GCF of 2,66,45,378 is 1 .
LCM of Denominators means LCM of 75,32,461,919 as per the given fractions.
LCM of 75,32,461,919 is 1016781600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,66,45,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
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 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 2,66,45,378 . The biggest common factor number is the GCF number.
So the greatest common factor 2,66,45,378 is 1.
Lets's calculate LCM of 75,32,461,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 1016781600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1016781600
Therefore, the GCF of Fractions 2/75,66/32,45/461,378/919 is 1/1016781600
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 75,32,461,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,32,461,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,32,461,919) x common factors =1 x 1 = 1
LCM(75,32,461,919) = ( 75 × 32 × 461 × 919 ) / 1
LCM(75,32,461,919) = 1016781600 / 1
LCM(75,32,461,919) = 1016781600
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 2/75, 66/32, 45/461, 378/919?
Answer: GCF of Numerators as per given numbers 2/75, 66/32, 45/461, 378/919 is
GCF of Numerators i.e. for 2,66,45,378 is 1
LCM of denominators i.e. for 75,32,461,919 is 1016781600.
Thus, GCF of Fractions is 1/1016781600.Finally, GCF of Fractions for 2/75, 66/32, 45/461, 378/919 is 1/1016781600.