Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9163/527,1227/450
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 9163,1227
Greatest Common Factor of Numerators i.e. GCF of 9163,1227 is 1 .
LCM of Denominators means LCM of 527,450 as per the given fractions.
LCM of 527,450 is 237150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9163,1227
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9163
List of positive integer factors of 9163 that divides 9163 without a remainder.
1,7,11,17,49,77,119,187,539,833,1309,9163
Factors of 1227
List of positive integer factors of 1227 that divides 1227 without a remainder.
1,3,409,1227
Greatest Common Factor
We found the factors 9163,1227 . The biggest common factor number is the GCF number.
So the greatest common factor 9163,1227 is 1.
Lets's calculate LCM of 527,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 237150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237150
Therefore, the GCF of Fractions 9163/527,1227/450 is 1/237150
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 527,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,450) x common factors =1 x 1 = 1
LCM(527,450) = ( 527 × 450 ) / 1
LCM(527,450) = 237150 / 1
LCM(527,450) = 237150
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 9163/527, 1227/450?
Answer: GCF of Numerators as per given numbers 9163/527, 1227/450 is
GCF of Numerators i.e. for 9163,1227 is 1
LCM of denominators i.e. for 527,450 is 237150.
Thus, GCF of Fractions is 1/237150.Finally, GCF of Fractions for 9163/527, 1227/450 is 1/237150.