Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4787/958,3604/1145
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 4787,3604
Greatest Common Factor of Numerators i.e. GCF of 4787,3604 is 1 .
LCM of Denominators means LCM of 958,1145 as per the given fractions.
LCM of 958,1145 is 1096910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4787,3604
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4787
List of positive integer factors of 4787 that divides 4787 without a remainder.
1,4787
Factors of 3604
List of positive integer factors of 3604 that divides 3604 without a remainder.
1,2,4,17,34,53,68,106,212,901,1802,3604
Greatest Common Factor
We found the factors 4787,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 4787,3604 is 1.
Lets's calculate LCM of 958,1145
Given numbers has no common factors except 1. So, there LCM is their product i.e 1096910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1096910
Therefore, the GCF of Fractions 4787/958,3604/1145 is 1/1096910
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 958,1145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,1145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,1145) x common factors =1 x 1 = 1
LCM(958,1145) = ( 958 × 1145 ) / 1
LCM(958,1145) = 1096910 / 1
LCM(958,1145) = 1096910
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 4787/958, 3604/1145?
Answer: GCF of Numerators as per given numbers 4787/958, 3604/1145 is
GCF of Numerators i.e. for 4787,3604 is 1
LCM of denominators i.e. for 958,1145 is 1096910.
Thus, GCF of Fractions is 1/1096910.Finally, GCF of Fractions for 4787/958, 3604/1145 is 1/1096910.