Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8229/701,1583/906
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 8229,1583
Greatest Common Factor of Numerators i.e. GCF of 8229,1583 is 1 .
LCM of Denominators means LCM of 701,906 as per the given fractions.
LCM of 701,906 is 635106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8229,1583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8229
List of positive integer factors of 8229 that divides 8229 without a remainder.
1,3,13,39,211,633,2743,8229
Factors of 1583
List of positive integer factors of 1583 that divides 1583 without a remainder.
1,1583
Greatest Common Factor
We found the factors 8229,1583 . The biggest common factor number is the GCF number.
So the greatest common factor 8229,1583 is 1.
Lets's calculate LCM of 701,906
Given numbers has no common factors except 1. So, there LCM is their product i.e 635106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635106
Therefore, the GCF of Fractions 8229/701,1583/906 is 1/635106
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 701,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,906) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,906) x common factors =1 x 1 = 1
LCM(701,906) = ( 701 × 906 ) / 1
LCM(701,906) = 635106 / 1
LCM(701,906) = 635106
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 8229/701, 1583/906?
Answer: GCF of Numerators as per given numbers 8229/701, 1583/906 is
GCF of Numerators i.e. for 8229,1583 is 1
LCM of denominators i.e. for 701,906 is 635106.
Thus, GCF of Fractions is 1/635106.Finally, GCF of Fractions for 8229/701, 1583/906 is 1/635106.