Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 536/21,2853/394
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 536,2853
Greatest Common Factor of Numerators i.e. GCF of 536,2853 is 1 .
LCM of Denominators means LCM of 21,394 as per the given fractions.
LCM of 21,394 is 8274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 536,2853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1,3,9,317,951,2853
Greatest Common Factor
We found the factors 536,2853 . The biggest common factor number is the GCF number.
So the greatest common factor 536,2853 is 1.
Lets's calculate LCM of 21,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 8274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8274
Therefore, the GCF of Fractions 536/21,2853/394 is 1/8274
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 21,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,394) x common factors =1 x 1 = 1
LCM(21,394) = ( 21 × 394 ) / 1
LCM(21,394) = 8274 / 1
LCM(21,394) = 8274
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 536/21, 2853/394?
Answer: GCF of Numerators as per given numbers 536/21, 2853/394 is
GCF of Numerators i.e. for 536,2853 is 1
LCM of denominators i.e. for 21,394 is 8274.
Thus, GCF of Fractions is 1/8274.Finally, GCF of Fractions for 536/21, 2853/394 is 1/8274.