Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 431/642,438/721
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 431,438
Greatest Common Factor of Numerators i.e. GCF of 431,438 is 1 .
LCM of Denominators means LCM of 642,721 as per the given fractions.
LCM of 642,721 is 462882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 431,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 431,438 . The biggest common factor number is the GCF number.
So the greatest common factor 431,438 is 1.
Lets's calculate LCM of 642,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 462882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462882
Therefore, the GCF of Fractions 431/642,438/721 is 1/462882
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 642,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,721) x common factors =1 x 1 = 1
LCM(642,721) = ( 642 × 721 ) / 1
LCM(642,721) = 462882 / 1
LCM(642,721) = 462882
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 431/642, 438/721?
Answer: GCF of Numerators as per given numbers 431/642, 438/721 is
GCF of Numerators i.e. for 431,438 is 1
LCM of denominators i.e. for 642,721 is 462882.
Thus, GCF of Fractions is 1/462882.Finally, GCF of Fractions for 431/642, 438/721 is 1/462882.