Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/55,54/137,583/497
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 84,54,583
Greatest Common Factor of Numerators i.e. GCF of 84,54,583 is 1 .
LCM of Denominators means LCM of 55,137,497 as per the given fractions.
LCM of 55,137,497 is 3744895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,54,583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Greatest Common Factor
We found the factors 84,54,583 . The biggest common factor number is the GCF number.
So the greatest common factor 84,54,583 is 1.
Lets's calculate LCM of 55,137,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 3744895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3744895
Therefore, the GCF of Fractions 84/55,54/137,583/497 is 1/3744895
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 55,137,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,137,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,137,497) x common factors =1 x 1 = 1
LCM(55,137,497) = ( 55 × 137 × 497 ) / 1
LCM(55,137,497) = 3744895 / 1
LCM(55,137,497) = 3744895
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 84/55, 54/137, 583/497?
Answer: GCF of Numerators as per given numbers 84/55, 54/137, 583/497 is
GCF of Numerators i.e. for 84,54,583 is 1
LCM of denominators i.e. for 55,137,497 is 3744895.
Thus, GCF of Fractions is 1/3744895.Finally, GCF of Fractions for 84/55, 54/137, 583/497 is 1/3744895.