Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3983/43,1058/920
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 3983,1058
Greatest Common Factor of Numerators i.e. GCF of 3983,1058 is 1 .
LCM of Denominators means LCM of 43,920 as per the given fractions.
LCM of 43,920 is 39560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3983,1058
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3983
List of positive integer factors of 3983 that divides 3983 without a remainder.
1,7,569,3983
Factors of 1058
List of positive integer factors of 1058 that divides 1058 without a remainder.
1,2,23,46,529,1058
Greatest Common Factor
We found the factors 3983,1058 . The biggest common factor number is the GCF number.
So the greatest common factor 3983,1058 is 1.
Lets's calculate LCM of 43,920
Given numbers has no common factors except 1. So, there LCM is their product i.e 39560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39560
Therefore, the GCF of Fractions 3983/43,1058/920 is 1/39560
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 43,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,920) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,920) x common factors =1 x 1 = 1
LCM(43,920) = ( 43 × 920 ) / 1
LCM(43,920) = 39560 / 1
LCM(43,920) = 39560
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 3983/43, 1058/920?
Answer: GCF of Numerators as per given numbers 3983/43, 1058/920 is
GCF of Numerators i.e. for 3983,1058 is 1
LCM of denominators i.e. for 43,920 is 39560.
Thus, GCF of Fractions is 1/39560.Finally, GCF of Fractions for 3983/43, 1058/920 is 1/39560.