Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1100/436,8543/801
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 1100,8543
Greatest Common Factor of Numerators i.e. GCF of 1100,8543 is 1 .
LCM of Denominators means LCM of 436,801 as per the given fractions.
LCM of 436,801 is 349236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1100,8543
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1100
List of positive integer factors of 1100 that divides 1100 without a remainder.
1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Factors of 8543
List of positive integer factors of 8543 that divides 8543 without a remainder.
1,8543
Greatest Common Factor
We found the factors 1100,8543 . The biggest common factor number is the GCF number.
So the greatest common factor 1100,8543 is 1.
Lets's calculate LCM of 436,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 349236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349236
Therefore, the GCF of Fractions 1100/436,8543/801 is 1/349236
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 436,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,801) x common factors =1 x 1 = 1
LCM(436,801) = ( 436 × 801 ) / 1
LCM(436,801) = 349236 / 1
LCM(436,801) = 349236
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 1100/436, 8543/801?
Answer: GCF of Numerators as per given numbers 1100/436, 8543/801 is
GCF of Numerators i.e. for 1100,8543 is 1
LCM of denominators i.e. for 436,801 is 349236.
Thus, GCF of Fractions is 1/349236.Finally, GCF of Fractions for 1100/436, 8543/801 is 1/349236.