Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/263,3490/347
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 573,3490
Greatest Common Factor of Numerators i.e. GCF of 573,3490 is 1 .
LCM of Denominators means LCM of 263,347 as per the given fractions.
LCM of 263,347 is 91261 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 573,3490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 3490
List of positive integer factors of 3490 that divides 3490 without a remainder.
1,2,5,10,349,698,1745,3490
Greatest Common Factor
We found the factors 573,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 573,3490 is 1.
Lets's calculate LCM of 263,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 91261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91261
Therefore, the GCF of Fractions 573/263,3490/347 is 1/91261
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 263,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,347) x common factors =1 x 1 = 1
LCM(263,347) = ( 263 × 347 ) / 1
LCM(263,347) = 91261 / 1
LCM(263,347) = 91261
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 573/263, 3490/347?
Answer: GCF of Numerators as per given numbers 573/263, 3490/347 is
GCF of Numerators i.e. for 573,3490 is 1
LCM of denominators i.e. for 263,347 is 91261.
Thus, GCF of Fractions is 1/91261.Finally, GCF of Fractions for 573/263, 3490/347 is 1/91261.