Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7007/108,2385/247
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 7007,2385
Greatest Common Factor of Numerators i.e. GCF of 7007,2385 is 1 .
LCM of Denominators means LCM of 108,247 as per the given fractions.
LCM of 108,247 is 26676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7007,2385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7007
List of positive integer factors of 7007 that divides 7007 without a remainder.
1,7,11,13,49,77,91,143,539,637,1001,7007
Factors of 2385
List of positive integer factors of 2385 that divides 2385 without a remainder.
1,3,5,9,15,45,53,159,265,477,795,2385
Greatest Common Factor
We found the factors 7007,2385 . The biggest common factor number is the GCF number.
So the greatest common factor 7007,2385 is 1.
Lets's calculate LCM of 108,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 26676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26676
Therefore, the GCF of Fractions 7007/108,2385/247 is 1/26676
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 108,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,247) x common factors =1 x 1 = 1
LCM(108,247) = ( 108 × 247 ) / 1
LCM(108,247) = 26676 / 1
LCM(108,247) = 26676
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 7007/108, 2385/247?
Answer: GCF of Numerators as per given numbers 7007/108, 2385/247 is
GCF of Numerators i.e. for 7007,2385 is 1
LCM of denominators i.e. for 108,247 is 26676.
Thus, GCF of Fractions is 1/26676.Finally, GCF of Fractions for 7007/108, 2385/247 is 1/26676.