Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3274/263,2431/358
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 3274,2431
Greatest Common Factor of Numerators i.e. GCF of 3274,2431 is 1 .
LCM of Denominators means LCM of 263,358 as per the given fractions.
LCM of 263,358 is 94154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3274,2431
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3274
List of positive integer factors of 3274 that divides 3274 without a remainder.
1,2,1637,3274
Factors of 2431
List of positive integer factors of 2431 that divides 2431 without a remainder.
1,11,13,17,143,187,221,2431
Greatest Common Factor
We found the factors 3274,2431 . The biggest common factor number is the GCF number.
So the greatest common factor 3274,2431 is 1.
Lets's calculate LCM of 263,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 94154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94154
Therefore, the GCF of Fractions 3274/263,2431/358 is 1/94154
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 263,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,358) x common factors =1 x 1 = 1
LCM(263,358) = ( 263 × 358 ) / 1
LCM(263,358) = 94154 / 1
LCM(263,358) = 94154
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 3274/263, 2431/358?
Answer: GCF of Numerators as per given numbers 3274/263, 2431/358 is
GCF of Numerators i.e. for 3274,2431 is 1
LCM of denominators i.e. for 263,358 is 94154.
Thus, GCF of Fractions is 1/94154.Finally, GCF of Fractions for 3274/263, 2431/358 is 1/94154.