Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7339/118,5562/8417
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 7339,5562
Greatest Common Factor of Numerators i.e. GCF of 7339,5562 is 1 .
LCM of Denominators means LCM of 118,8417 as per the given fractions.
LCM of 118,8417 is 993206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7339,5562
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7339
List of positive integer factors of 7339 that divides 7339 without a remainder.
1,41,179,7339
Factors of 5562
List of positive integer factors of 5562 that divides 5562 without a remainder.
1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562
Greatest Common Factor
We found the factors 7339,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,5562 is 1.
Lets's calculate LCM of 118,8417
Given numbers has no common factors except 1. So, there LCM is their product i.e 993206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/993206
Therefore, the GCF of Fractions 7339/118,5562/8417 is 1/993206
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 118,8417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,8417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,8417) x common factors =1 x 1 = 1
LCM(118,8417) = ( 118 × 8417 ) / 1
LCM(118,8417) = 993206 / 1
LCM(118,8417) = 993206
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 7339/118, 5562/8417?
Answer: GCF of Numerators as per given numbers 7339/118, 5562/8417 is
GCF of Numerators i.e. for 7339,5562 is 1
LCM of denominators i.e. for 118,8417 is 993206.
Thus, GCF of Fractions is 1/993206.Finally, GCF of Fractions for 7339/118, 5562/8417 is 1/993206.