Get help with finding GCF of fractions 8823/947, 6775/2007 using GCF of Fractions Calculator to know the result 1/1900629 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 8823/947, 6775/2007 is 1/1900629.
GCF(8823/947, 6775/2007) = 1/1900629
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8823/947,6775/2007
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 8823,6775
Greatest Common Factor of Numerators i.e. GCF of 8823,6775 is 1 .
LCM of Denominators means LCM of 947,2007 as per the given fractions.
LCM of 947,2007 is 1900629 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8823,6775
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8823
List of positive integer factors of 8823 that divides 8823 without a remainder.
Factors of 6775
List of positive integer factors of 6775 that divides 6775 without a remainder.
Greatest Common Factor
We found the factors 8823,6775 . The biggest common factor number is the GCF number.
So the greatest common factor 8823,6775 is 1.
Lets's calculate LCM of 947,2007
Given numbers has no common factors except 1. So, there LCM is their product i.e 1900629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1900629
Therefore, the GCF of Fractions 8823/947,6775/2007 is 1/1900629
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 947,2007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,2007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,2007) x common factors =1 x 1 = 1
LCM(947,2007) = ( 947 × 2007 ) / 1
LCM(947,2007) = 1900629 / 1
LCM(947,2007) = 1900629
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 8823/947, 6775/2007?
Answer: GCF of Numerators as per given numbers 8823/947, 6775/2007 is
GCF of Numerators i.e. for 8823,6775 is 1
LCM of denominators i.e. for 947,2007 is 1900629.
Thus, GCF of Fractions is 1/1900629.Finally, GCF of Fractions for 8823/947, 6775/2007 is 1/1900629.