Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/583,3680/458
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 985,3680
Greatest Common Factor of Numerators i.e. GCF of 985,3680 is 5 .
LCM of Denominators means LCM of 583,458 as per the given fractions.
LCM of 583,458 is 267014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 985,3680
5 | 985, 3680 |
197, 736 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 3680
List of positive integer factors of 3680 that divides 3680 without a remainder.
1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680
Greatest Common Factor
We found the factors 985,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 985,3680 is 5.
Lets's calculate LCM of 583,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 267014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/267014
Therefore, the GCF of Fractions 985/583,3680/458 is 5/267014
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 583,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,458) x common factors =1 x 1 = 1
LCM(583,458) = ( 583 × 458 ) / 1
LCM(583,458) = 267014 / 1
LCM(583,458) = 267014
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 985/583, 3680/458?
Answer: GCF of Numerators as per given numbers 985/583, 3680/458 is
GCF of Numerators i.e. for 985,3680 is 5
LCM of denominators i.e. for 583,458 is 267014.
Thus, GCF of Fractions is 5/267014.Finally, GCF of Fractions for 985/583, 3680/458 is 5/267014.