Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9009/529,3677/308
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 9009,3677
Greatest Common Factor of Numerators i.e. GCF of 9009,3677 is 1 .
LCM of Denominators means LCM of 529,308 as per the given fractions.
LCM of 529,308 is 162932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9009,3677
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9009
List of positive integer factors of 9009 that divides 9009 without a remainder.
1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Factors of 3677
List of positive integer factors of 3677 that divides 3677 without a remainder.
1,3677
Greatest Common Factor
We found the factors 9009,3677 . The biggest common factor number is the GCF number.
So the greatest common factor 9009,3677 is 1.
Lets's calculate LCM of 529,308
Given numbers has no common factors except 1. So, there LCM is their product i.e 162932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162932
Therefore, the GCF of Fractions 9009/529,3677/308 is 1/162932
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 529,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,308) x common factors =1 x 1 = 1
LCM(529,308) = ( 529 × 308 ) / 1
LCM(529,308) = 162932 / 1
LCM(529,308) = 162932
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 9009/529, 3677/308?
Answer: GCF of Numerators as per given numbers 9009/529, 3677/308 is
GCF of Numerators i.e. for 9009,3677 is 1
LCM of denominators i.e. for 529,308 is 162932.
Thus, GCF of Fractions is 1/162932.Finally, GCF of Fractions for 9009/529, 3677/308 is 1/162932.