Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7727/827,8300/330
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 7727,8300
Greatest Common Factor of Numerators i.e. GCF of 7727,8300 is 1 .
LCM of Denominators means LCM of 827,330 as per the given fractions.
LCM of 827,330 is 272910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7727,8300
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7727
List of positive integer factors of 7727 that divides 7727 without a remainder.
1,7727
Factors of 8300
List of positive integer factors of 8300 that divides 8300 without a remainder.
1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Greatest Common Factor
We found the factors 7727,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 7727,8300 is 1.
Lets's calculate LCM of 827,330
Given numbers has no common factors except 1. So, there LCM is their product i.e 272910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272910
Therefore, the GCF of Fractions 7727/827,8300/330 is 1/272910
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 827,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,330) x common factors =1 x 1 = 1
LCM(827,330) = ( 827 × 330 ) / 1
LCM(827,330) = 272910 / 1
LCM(827,330) = 272910
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 7727/827, 8300/330?
Answer: GCF of Numerators as per given numbers 7727/827, 8300/330 is
GCF of Numerators i.e. for 7727,8300 is 1
LCM of denominators i.e. for 827,330 is 272910.
Thus, GCF of Fractions is 1/272910.Finally, GCF of Fractions for 7727/827, 8300/330 is 1/272910.