Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2747/65,9308/901
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 2747,9308
Greatest Common Factor of Numerators i.e. GCF of 2747,9308 is 1 .
LCM of Denominators means LCM of 65,901 as per the given fractions.
LCM of 65,901 is 58565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2747,9308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2747
List of positive integer factors of 2747 that divides 2747 without a remainder.
1,41,67,2747
Factors of 9308
List of positive integer factors of 9308 that divides 9308 without a remainder.
1,2,4,13,26,52,179,358,716,2327,4654,9308
Greatest Common Factor
We found the factors 2747,9308 . The biggest common factor number is the GCF number.
So the greatest common factor 2747,9308 is 1.
Lets's calculate LCM of 65,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 58565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58565
Therefore, the GCF of Fractions 2747/65,9308/901 is 1/58565
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 65,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,901) x common factors =1 x 1 = 1
LCM(65,901) = ( 65 × 901 ) / 1
LCM(65,901) = 58565 / 1
LCM(65,901) = 58565
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 2747/65, 9308/901?
Answer: GCF of Numerators as per given numbers 2747/65, 9308/901 is
GCF of Numerators i.e. for 2747,9308 is 1
LCM of denominators i.e. for 65,901 is 58565.
Thus, GCF of Fractions is 1/58565.Finally, GCF of Fractions for 2747/65, 9308/901 is 1/58565.