Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4243/673,9668/6030
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 4243,9668
Greatest Common Factor of Numerators i.e. GCF of 4243,9668 is 1 .
LCM of Denominators means LCM of 673,6030 as per the given fractions.
LCM of 673,6030 is 4058190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4243,9668
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4243
List of positive integer factors of 4243 that divides 4243 without a remainder.
1,4243
Factors of 9668
List of positive integer factors of 9668 that divides 9668 without a remainder.
1,2,4,2417,4834,9668
Greatest Common Factor
We found the factors 4243,9668 . The biggest common factor number is the GCF number.
So the greatest common factor 4243,9668 is 1.
Lets's calculate LCM of 673,6030
Given numbers has no common factors except 1. So, there LCM is their product i.e 4058190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4058190
Therefore, the GCF of Fractions 4243/673,9668/6030 is 1/4058190
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 673,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,6030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,6030) x common factors =1 x 1 = 1
LCM(673,6030) = ( 673 × 6030 ) / 1
LCM(673,6030) = 4058190 / 1
LCM(673,6030) = 4058190
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 4243/673, 9668/6030?
Answer: GCF of Numerators as per given numbers 4243/673, 9668/6030 is
GCF of Numerators i.e. for 4243,9668 is 1
LCM of denominators i.e. for 673,6030 is 4058190.
Thus, GCF of Fractions is 1/4058190.Finally, GCF of Fractions for 4243/673, 9668/6030 is 1/4058190.