Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1589/436,7590/2021
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 1589,7590
Greatest Common Factor of Numerators i.e. GCF of 1589,7590 is 1 .
LCM of Denominators means LCM of 436,2021 as per the given fractions.
LCM of 436,2021 is 881156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1589,7590
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1589
List of positive integer factors of 1589 that divides 1589 without a remainder.
1,7,227,1589
Factors of 7590
List of positive integer factors of 7590 that divides 7590 without a remainder.
1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Greatest Common Factor
We found the factors 1589,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 1589,7590 is 1.
Lets's calculate LCM of 436,2021
Given numbers has no common factors except 1. So, there LCM is their product i.e 881156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/881156
Therefore, the GCF of Fractions 1589/436,7590/2021 is 1/881156
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 436,2021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,2021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,2021) x common factors =1 x 1 = 1
LCM(436,2021) = ( 436 × 2021 ) / 1
LCM(436,2021) = 881156 / 1
LCM(436,2021) = 881156
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 1589/436, 7590/2021?
Answer: GCF of Numerators as per given numbers 1589/436, 7590/2021 is
GCF of Numerators i.e. for 1589,7590 is 1
LCM of denominators i.e. for 436,2021 is 881156.
Thus, GCF of Fractions is 1/881156.Finally, GCF of Fractions for 1589/436, 7590/2021 is 1/881156.