Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/769,3749/399
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 184,3749
Greatest Common Factor of Numerators i.e. GCF of 184,3749 is 23 .
LCM of Denominators means LCM of 769,399 as per the given fractions.
LCM of 769,399 is 306831 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 184,3749
23 | 184, 3749 |
8, 163 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 3749
List of positive integer factors of 3749 that divides 3749 without a remainder.
1,23,163,3749
Greatest Common Factor
We found the factors 184,3749 . The biggest common factor number is the GCF number.
So the greatest common factor 184,3749 is 23.
Lets's calculate LCM of 769,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 306831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/306831
Therefore, the GCF of Fractions 184/769,3749/399 is 23/306831
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 769,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,399) x common factors =1 x 1 = 1
LCM(769,399) = ( 769 × 399 ) / 1
LCM(769,399) = 306831 / 1
LCM(769,399) = 306831
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 184/769, 3749/399?
Answer: GCF of Numerators as per given numbers 184/769, 3749/399 is
GCF of Numerators i.e. for 184,3749 is 23
LCM of denominators i.e. for 769,399 is 306831.
Thus, GCF of Fractions is 23/306831.Finally, GCF of Fractions for 184/769, 3749/399 is 23/306831.