Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/28,7503/969
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 162,7503
Greatest Common Factor of Numerators i.e. GCF of 162,7503 is 3 .
LCM of Denominators means LCM of 28,969 as per the given fractions.
LCM of 28,969 is 27132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 162,7503
3 | 162, 7503 |
54, 2501 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 7503
List of positive integer factors of 7503 that divides 7503 without a remainder.
1,3,41,61,123,183,2501,7503
Greatest Common Factor
We found the factors 162,7503 . The biggest common factor number is the GCF number.
So the greatest common factor 162,7503 is 3.
Lets's calculate LCM of 28,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 27132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27132
Therefore, the GCF of Fractions 162/28,7503/969 is 3/27132
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 28,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,969) x common factors =1 x 1 = 1
LCM(28,969) = ( 28 × 969 ) / 1
LCM(28,969) = 27132 / 1
LCM(28,969) = 27132
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 162/28, 7503/969?
Answer: GCF of Numerators as per given numbers 162/28, 7503/969 is
GCF of Numerators i.e. for 162,7503 is 3
LCM of denominators i.e. for 28,969 is 27132.
Thus, GCF of Fractions is 3/27132.Finally, GCF of Fractions for 162/28, 7503/969 is 3/27132.