Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/816,342/407,145/237
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 627,342,145
Greatest Common Factor of Numerators i.e. GCF of 627,342,145 is 1 .
LCM of Denominators means LCM of 816,407,237 as per the given fractions.
LCM of 816,407,237 is 26236848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 627,342,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 627,342,145 . The biggest common factor number is the GCF number.
So the greatest common factor 627,342,145 is 1.
Lets's calculate LCM of 816,407,237
3 | 816, 407, 237 |
272, 407, 79 |
∴ So the LCM of the given numbers is 3 x 272 x 407 x 79 = 26236848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26236848
Therefore, the GCF of Fractions 627/816,342/407,145/237 is 1/26236848
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 816,407,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,407,237) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(816,407,237) x common factors =1 x 3 = 3
LCM(816,407,237) = ( 816 × 407 × 237 ) / 3
LCM(816,407,237) = 78710544 / 3
LCM(816,407,237) = 26236848
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 627/816, 342/407, 145/237?
Answer: GCF of Numerators as per given numbers 627/816, 342/407, 145/237 is
GCF of Numerators i.e. for 627,342,145 is 1
LCM of denominators i.e. for 816,407,237 is 26236848.
Thus, GCF of Fractions is 1/26236848.Finally, GCF of Fractions for 627/816, 342/407, 145/237 is 1/26236848.