Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6635/826,2483/207
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 6635,2483
Greatest Common Factor of Numerators i.e. GCF of 6635,2483 is 1 .
LCM of Denominators means LCM of 826,207 as per the given fractions.
LCM of 826,207 is 170982 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6635,2483
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6635
List of positive integer factors of 6635 that divides 6635 without a remainder.
1,5,1327,6635
Factors of 2483
List of positive integer factors of 2483 that divides 2483 without a remainder.
1,13,191,2483
Greatest Common Factor
We found the factors 6635,2483 . The biggest common factor number is the GCF number.
So the greatest common factor 6635,2483 is 1.
Lets's calculate LCM of 826,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 170982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170982
Therefore, the GCF of Fractions 6635/826,2483/207 is 1/170982
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 826,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,207) x common factors =1 x 1 = 1
LCM(826,207) = ( 826 × 207 ) / 1
LCM(826,207) = 170982 / 1
LCM(826,207) = 170982
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 6635/826, 2483/207?
Answer: GCF of Numerators as per given numbers 6635/826, 2483/207 is
GCF of Numerators i.e. for 6635,2483 is 1
LCM of denominators i.e. for 826,207 is 170982.
Thus, GCF of Fractions is 1/170982.Finally, GCF of Fractions for 6635/826, 2483/207 is 1/170982.