Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 683/254,522/361
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 683,522
Greatest Common Factor of Numerators i.e. GCF of 683,522 is 1 .
LCM of Denominators means LCM of 254,361 as per the given fractions.
LCM of 254,361 is 91694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 683,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 683,522 . The biggest common factor number is the GCF number.
So the greatest common factor 683,522 is 1.
Lets's calculate LCM of 254,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 91694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91694
Therefore, the GCF of Fractions 683/254,522/361 is 1/91694
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 254,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,361) x common factors =1 x 1 = 1
LCM(254,361) = ( 254 × 361 ) / 1
LCM(254,361) = 91694 / 1
LCM(254,361) = 91694
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 683/254, 522/361?
Answer: GCF of Numerators as per given numbers 683/254, 522/361 is
GCF of Numerators i.e. for 683,522 is 1
LCM of denominators i.e. for 254,361 is 91694.
Thus, GCF of Fractions is 1/91694.Finally, GCF of Fractions for 683/254, 522/361 is 1/91694.