Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 869/944,9809/393
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 869,9809
Greatest Common Factor of Numerators i.e. GCF of 869,9809 is 1 .
LCM of Denominators means LCM of 944,393 as per the given fractions.
LCM of 944,393 is 370992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 869,9809
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 9809
List of positive integer factors of 9809 that divides 9809 without a remainder.
1,17,577,9809
Greatest Common Factor
We found the factors 869,9809 . The biggest common factor number is the GCF number.
So the greatest common factor 869,9809 is 1.
Lets's calculate LCM of 944,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 370992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370992
Therefore, the GCF of Fractions 869/944,9809/393 is 1/370992
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 944,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(944,393) x common factors =1 x 1 = 1
LCM(944,393) = ( 944 × 393 ) / 1
LCM(944,393) = 370992 / 1
LCM(944,393) = 370992
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 869/944, 9809/393?
Answer: GCF of Numerators as per given numbers 869/944, 9809/393 is
GCF of Numerators i.e. for 869,9809 is 1
LCM of denominators i.e. for 944,393 is 370992.
Thus, GCF of Fractions is 1/370992.Finally, GCF of Fractions for 869/944, 9809/393 is 1/370992.