Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/82,942/80,267/737
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 187,942,267
Greatest Common Factor of Numerators i.e. GCF of 187,942,267 is 1 .
LCM of Denominators means LCM of 82,80,737 as per the given fractions.
LCM of 82,80,737 is 2417360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 187,942,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 187,942,267 . The biggest common factor number is the GCF number.
So the greatest common factor 187,942,267 is 1.
Lets's calculate LCM of 82,80,737
2 | 82, 80, 737 |
41, 40, 737 |
∴ So the LCM of the given numbers is 2 x 41 x 40 x 737 = 2417360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2417360
Therefore, the GCF of Fractions 187/82,942/80,267/737 is 1/2417360
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 82,80,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,80,737) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,80,737) x common factors =1 x 2 = 2
LCM(82,80,737) = ( 82 × 80 × 737 ) / 2
LCM(82,80,737) = 4834720 / 2
LCM(82,80,737) = 2417360
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 187/82, 942/80, 267/737?
Answer: GCF of Numerators as per given numbers 187/82, 942/80, 267/737 is
GCF of Numerators i.e. for 187,942,267 is 1
LCM of denominators i.e. for 82,80,737 is 2417360.
Thus, GCF of Fractions is 1/2417360.Finally, GCF of Fractions for 187/82, 942/80, 267/737 is 1/2417360.