Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 724/901,365/623
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 724,365
Greatest Common Factor of Numerators i.e. GCF of 724,365 is 1 .
LCM of Denominators means LCM of 901,623 as per the given fractions.
LCM of 901,623 is 561323 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 724,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 724,365 . The biggest common factor number is the GCF number.
So the greatest common factor 724,365 is 1.
Lets's calculate LCM of 901,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 561323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561323
Therefore, the GCF of Fractions 724/901,365/623 is 1/561323
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 901,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,623) x common factors =1 x 1 = 1
LCM(901,623) = ( 901 × 623 ) / 1
LCM(901,623) = 561323 / 1
LCM(901,623) = 561323
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 724/901, 365/623?
Answer: GCF of Numerators as per given numbers 724/901, 365/623 is
GCF of Numerators i.e. for 724,365 is 1
LCM of denominators i.e. for 901,623 is 561323.
Thus, GCF of Fractions is 1/561323.Finally, GCF of Fractions for 724/901, 365/623 is 1/561323.