Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 619/16,8787/435
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 619,8787
Greatest Common Factor of Numerators i.e. GCF of 619,8787 is 1 .
LCM of Denominators means LCM of 16,435 as per the given fractions.
LCM of 16,435 is 6960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 619,8787
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 8787
List of positive integer factors of 8787 that divides 8787 without a remainder.
1,3,29,87,101,303,2929,8787
Greatest Common Factor
We found the factors 619,8787 . The biggest common factor number is the GCF number.
So the greatest common factor 619,8787 is 1.
Lets's calculate LCM of 16,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 6960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6960
Therefore, the GCF of Fractions 619/16,8787/435 is 1/6960
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 16,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,435) x common factors =1 x 1 = 1
LCM(16,435) = ( 16 × 435 ) / 1
LCM(16,435) = 6960 / 1
LCM(16,435) = 6960
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 619/16, 8787/435?
Answer: GCF of Numerators as per given numbers 619/16, 8787/435 is
GCF of Numerators i.e. for 619,8787 is 1
LCM of denominators i.e. for 16,435 is 6960.
Thus, GCF of Fractions is 1/6960.Finally, GCF of Fractions for 619/16, 8787/435 is 1/6960.