Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7011/339,7756/9002
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 7011,7756
Greatest Common Factor of Numerators i.e. GCF of 7011,7756 is 1 .
LCM of Denominators means LCM of 339,9002 as per the given fractions.
LCM of 339,9002 is 3051678 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7011,7756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7011
List of positive integer factors of 7011 that divides 7011 without a remainder.
1,3,9,19,41,57,123,171,369,779,2337,7011
Factors of 7756
List of positive integer factors of 7756 that divides 7756 without a remainder.
1,2,4,7,14,28,277,554,1108,1939,3878,7756
Greatest Common Factor
We found the factors 7011,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 7011,7756 is 1.
Lets's calculate LCM of 339,9002
Given numbers has no common factors except 1. So, there LCM is their product i.e 3051678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3051678
Therefore, the GCF of Fractions 7011/339,7756/9002 is 1/3051678
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 339,9002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,9002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,9002) x common factors =1 x 1 = 1
LCM(339,9002) = ( 339 × 9002 ) / 1
LCM(339,9002) = 3051678 / 1
LCM(339,9002) = 3051678
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 7011/339, 7756/9002?
Answer: GCF of Numerators as per given numbers 7011/339, 7756/9002 is
GCF of Numerators i.e. for 7011,7756 is 1
LCM of denominators i.e. for 339,9002 is 3051678.
Thus, GCF of Fractions is 1/3051678.Finally, GCF of Fractions for 7011/339, 7756/9002 is 1/3051678.