Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8018/139,3407/755
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 8018,3407
Greatest Common Factor of Numerators i.e. GCF of 8018,3407 is 1 .
LCM of Denominators means LCM of 139,755 as per the given fractions.
LCM of 139,755 is 104945 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8018,3407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8018
List of positive integer factors of 8018 that divides 8018 without a remainder.
1,2,19,38,211,422,4009,8018
Factors of 3407
List of positive integer factors of 3407 that divides 3407 without a remainder.
1,3407
Greatest Common Factor
We found the factors 8018,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 8018,3407 is 1.
Lets's calculate LCM of 139,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 104945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104945
Therefore, the GCF of Fractions 8018/139,3407/755 is 1/104945
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 139,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,755) x common factors =1 x 1 = 1
LCM(139,755) = ( 139 × 755 ) / 1
LCM(139,755) = 104945 / 1
LCM(139,755) = 104945
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 8018/139, 3407/755?
Answer: GCF of Numerators as per given numbers 8018/139, 3407/755 is
GCF of Numerators i.e. for 8018,3407 is 1
LCM of denominators i.e. for 139,755 is 104945.
Thus, GCF of Fractions is 1/104945.Finally, GCF of Fractions for 8018/139, 3407/755 is 1/104945.