Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8455/822,2877/4613
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 8455,2877
Greatest Common Factor of Numerators i.e. GCF of 8455,2877 is 1 .
LCM of Denominators means LCM of 822,4613 as per the given fractions.
LCM of 822,4613 is 3791886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8455,2877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8455
List of positive integer factors of 8455 that divides 8455 without a remainder.
1,5,19,89,95,445,1691,8455
Factors of 2877
List of positive integer factors of 2877 that divides 2877 without a remainder.
1,3,7,21,137,411,959,2877
Greatest Common Factor
We found the factors 8455,2877 . The biggest common factor number is the GCF number.
So the greatest common factor 8455,2877 is 1.
Lets's calculate LCM of 822,4613
Given numbers has no common factors except 1. So, there LCM is their product i.e 3791886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3791886
Therefore, the GCF of Fractions 8455/822,2877/4613 is 1/3791886
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 822,4613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,4613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,4613) x common factors =1 x 1 = 1
LCM(822,4613) = ( 822 × 4613 ) / 1
LCM(822,4613) = 3791886 / 1
LCM(822,4613) = 3791886
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 8455/822, 2877/4613?
Answer: GCF of Numerators as per given numbers 8455/822, 2877/4613 is
GCF of Numerators i.e. for 8455,2877 is 1
LCM of denominators i.e. for 822,4613 is 3791886.
Thus, GCF of Fractions is 1/3791886.Finally, GCF of Fractions for 8455/822, 2877/4613 is 1/3791886.