Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8822/702,3819/7031
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 8822,3819
Greatest Common Factor of Numerators i.e. GCF of 8822,3819 is 1 .
LCM of Denominators means LCM of 702,7031 as per the given fractions.
LCM of 702,7031 is 4935762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8822,3819
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8822
List of positive integer factors of 8822 that divides 8822 without a remainder.
1,2,11,22,401,802,4411,8822
Factors of 3819
List of positive integer factors of 3819 that divides 3819 without a remainder.
1,3,19,57,67,201,1273,3819
Greatest Common Factor
We found the factors 8822,3819 . The biggest common factor number is the GCF number.
So the greatest common factor 8822,3819 is 1.
Lets's calculate LCM of 702,7031
Given numbers has no common factors except 1. So, there LCM is their product i.e 4935762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4935762
Therefore, the GCF of Fractions 8822/702,3819/7031 is 1/4935762
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 702,7031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,7031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,7031) x common factors =1 x 1 = 1
LCM(702,7031) = ( 702 × 7031 ) / 1
LCM(702,7031) = 4935762 / 1
LCM(702,7031) = 4935762
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 8822/702, 3819/7031?
Answer: GCF of Numerators as per given numbers 8822/702, 3819/7031 is
GCF of Numerators i.e. for 8822,3819 is 1
LCM of denominators i.e. for 702,7031 is 4935762.
Thus, GCF of Fractions is 1/4935762.Finally, GCF of Fractions for 8822/702, 3819/7031 is 1/4935762.