Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2622/559,9781/216
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 2622,9781
Greatest Common Factor of Numerators i.e. GCF of 2622,9781 is 1 .
LCM of Denominators means LCM of 559,216 as per the given fractions.
LCM of 559,216 is 120744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2622,9781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2622
List of positive integer factors of 2622 that divides 2622 without a remainder.
1,2,3,6,19,23,38,46,57,69,114,138,437,874,1311,2622
Factors of 9781
List of positive integer factors of 9781 that divides 9781 without a remainder.
1,9781
Greatest Common Factor
We found the factors 2622,9781 . The biggest common factor number is the GCF number.
So the greatest common factor 2622,9781 is 1.
Lets's calculate LCM of 559,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 120744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120744
Therefore, the GCF of Fractions 2622/559,9781/216 is 1/120744
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 559,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,216) x common factors =1 x 1 = 1
LCM(559,216) = ( 559 × 216 ) / 1
LCM(559,216) = 120744 / 1
LCM(559,216) = 120744
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 2622/559, 9781/216?
Answer: GCF of Numerators as per given numbers 2622/559, 9781/216 is
GCF of Numerators i.e. for 2622,9781 is 1
LCM of denominators i.e. for 559,216 is 120744.
Thus, GCF of Fractions is 1/120744.Finally, GCF of Fractions for 2622/559, 9781/216 is 1/120744.