Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9033/647,1000/837
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 9033,1000
Greatest Common Factor of Numerators i.e. GCF of 9033,1000 is 1 .
LCM of Denominators means LCM of 647,837 as per the given fractions.
LCM of 647,837 is 541539 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9033,1000
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9033
List of positive integer factors of 9033 that divides 9033 without a remainder.
1,3,3011,9033
Factors of 1000
List of positive integer factors of 1000 that divides 1000 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Greatest Common Factor
We found the factors 9033,1000 . The biggest common factor number is the GCF number.
So the greatest common factor 9033,1000 is 1.
Lets's calculate LCM of 647,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 541539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541539
Therefore, the GCF of Fractions 9033/647,1000/837 is 1/541539
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 647,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,837) x common factors =1 x 1 = 1
LCM(647,837) = ( 647 × 837 ) / 1
LCM(647,837) = 541539 / 1
LCM(647,837) = 541539
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 9033/647, 1000/837?
Answer: GCF of Numerators as per given numbers 9033/647, 1000/837 is
GCF of Numerators i.e. for 9033,1000 is 1
LCM of denominators i.e. for 647,837 is 541539.
Thus, GCF of Fractions is 1/541539.Finally, GCF of Fractions for 9033/647, 1000/837 is 1/541539.