Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9335/223,1777/2626
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 9335,1777
Greatest Common Factor of Numerators i.e. GCF of 9335,1777 is 1 .
LCM of Denominators means LCM of 223,2626 as per the given fractions.
LCM of 223,2626 is 585598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9335,1777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9335
List of positive integer factors of 9335 that divides 9335 without a remainder.
1,5,1867,9335
Factors of 1777
List of positive integer factors of 1777 that divides 1777 without a remainder.
1,1777
Greatest Common Factor
We found the factors 9335,1777 . The biggest common factor number is the GCF number.
So the greatest common factor 9335,1777 is 1.
Lets's calculate LCM of 223,2626
Given numbers has no common factors except 1. So, there LCM is their product i.e 585598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585598
Therefore, the GCF of Fractions 9335/223,1777/2626 is 1/585598
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 223,2626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,2626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,2626) x common factors =1 x 1 = 1
LCM(223,2626) = ( 223 × 2626 ) / 1
LCM(223,2626) = 585598 / 1
LCM(223,2626) = 585598
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 9335/223, 1777/2626?
Answer: GCF of Numerators as per given numbers 9335/223, 1777/2626 is
GCF of Numerators i.e. for 9335,1777 is 1
LCM of denominators i.e. for 223,2626 is 585598.
Thus, GCF of Fractions is 1/585598.Finally, GCF of Fractions for 9335/223, 1777/2626 is 1/585598.