Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8243/73,3772/778
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 8243,3772
Greatest Common Factor of Numerators i.e. GCF of 8243,3772 is 1 .
LCM of Denominators means LCM of 73,778 as per the given fractions.
LCM of 73,778 is 56794 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8243,3772
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8243
List of positive integer factors of 8243 that divides 8243 without a remainder.
1,8243
Factors of 3772
List of positive integer factors of 3772 that divides 3772 without a remainder.
1,2,4,23,41,46,82,92,164,943,1886,3772
Greatest Common Factor
We found the factors 8243,3772 . The biggest common factor number is the GCF number.
So the greatest common factor 8243,3772 is 1.
Lets's calculate LCM of 73,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 56794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56794
Therefore, the GCF of Fractions 8243/73,3772/778 is 1/56794
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 73,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,778) x common factors =1 x 1 = 1
LCM(73,778) = ( 73 × 778 ) / 1
LCM(73,778) = 56794 / 1
LCM(73,778) = 56794
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 8243/73, 3772/778?
Answer: GCF of Numerators as per given numbers 8243/73, 3772/778 is
GCF of Numerators i.e. for 8243,3772 is 1
LCM of denominators i.e. for 73,778 is 56794.
Thus, GCF of Fractions is 1/56794.Finally, GCF of Fractions for 8243/73, 3772/778 is 1/56794.