Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/37,455/83,546/367
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 547,455,546
Greatest Common Factor of Numerators i.e. GCF of 547,455,546 is 1 .
LCM of Denominators means LCM of 37,83,367 as per the given fractions.
LCM of 37,83,367 is 1127057 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 547,455,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 547,455,546 . The biggest common factor number is the GCF number.
So the greatest common factor 547,455,546 is 1.
Lets's calculate LCM of 37,83,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127057
Therefore, the GCF of Fractions 547/37,455/83,546/367 is 1/1127057
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 37,83,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,83,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,83,367) x common factors =1 x 1 = 1
LCM(37,83,367) = ( 37 × 83 × 367 ) / 1
LCM(37,83,367) = 1127057 / 1
LCM(37,83,367) = 1127057
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 547/37, 455/83, 546/367?
Answer: GCF of Numerators as per given numbers 547/37, 455/83, 546/367 is
GCF of Numerators i.e. for 547,455,546 is 1
LCM of denominators i.e. for 37,83,367 is 1127057.
Thus, GCF of Fractions is 1/1127057.Finally, GCF of Fractions for 547/37, 455/83, 546/367 is 1/1127057.