Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6111/139,4982/148
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 6111,4982
Greatest Common Factor of Numerators i.e. GCF of 6111,4982 is 1 .
LCM of Denominators means LCM of 139,148 as per the given fractions.
LCM of 139,148 is 20572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6111,4982
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6111
List of positive integer factors of 6111 that divides 6111 without a remainder.
1,3,7,9,21,63,97,291,679,873,2037,6111
Factors of 4982
List of positive integer factors of 4982 that divides 4982 without a remainder.
1,2,47,53,94,106,2491,4982
Greatest Common Factor
We found the factors 6111,4982 . The biggest common factor number is the GCF number.
So the greatest common factor 6111,4982 is 1.
Lets's calculate LCM of 139,148
Given numbers has no common factors except 1. So, there LCM is their product i.e 20572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20572
Therefore, the GCF of Fractions 6111/139,4982/148 is 1/20572
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 139,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,148) x common factors =1 x 1 = 1
LCM(139,148) = ( 139 × 148 ) / 1
LCM(139,148) = 20572 / 1
LCM(139,148) = 20572
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 6111/139, 4982/148?
Answer: GCF of Numerators as per given numbers 6111/139, 4982/148 is
GCF of Numerators i.e. for 6111,4982 is 1
LCM of denominators i.e. for 139,148 is 20572.
Thus, GCF of Fractions is 1/20572.Finally, GCF of Fractions for 6111/139, 4982/148 is 1/20572.