Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 133/78,919/55,275/961
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 133,919,275
Greatest Common Factor of Numerators i.e. GCF of 133,919,275 is 1 .
LCM of Denominators means LCM of 78,55,961 as per the given fractions.
LCM of 78,55,961 is 4122690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 133,919,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 133,919,275 . The biggest common factor number is the GCF number.
So the greatest common factor 133,919,275 is 1.
Lets's calculate LCM of 78,55,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 4122690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4122690
Therefore, the GCF of Fractions 133/78,919/55,275/961 is 1/4122690
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 78,55,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,55,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,55,961) x common factors =1 x 1 = 1
LCM(78,55,961) = ( 78 × 55 × 961 ) / 1
LCM(78,55,961) = 4122690 / 1
LCM(78,55,961) = 4122690
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 133/78, 919/55, 275/961?
Answer: GCF of Numerators as per given numbers 133/78, 919/55, 275/961 is
GCF of Numerators i.e. for 133,919,275 is 1
LCM of denominators i.e. for 78,55,961 is 4122690.
Thus, GCF of Fractions is 1/4122690.Finally, GCF of Fractions for 133/78, 919/55, 275/961 is 1/4122690.