Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3243/947,7017/553
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 3243,7017
Greatest Common Factor of Numerators i.e. GCF of 3243,7017 is 3 .
LCM of Denominators means LCM of 947,553 as per the given fractions.
LCM of 947,553 is 523691 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3243,7017
3 | 3243, 7017 |
1081, 2339 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3243
List of positive integer factors of 3243 that divides 3243 without a remainder.
1,3,23,47,69,141,1081,3243
Factors of 7017
List of positive integer factors of 7017 that divides 7017 without a remainder.
1,3,2339,7017
Greatest Common Factor
We found the factors 3243,7017 . The biggest common factor number is the GCF number.
So the greatest common factor 3243,7017 is 3.
Lets's calculate LCM of 947,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 523691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/523691
Therefore, the GCF of Fractions 3243/947,7017/553 is 3/523691
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 947,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,553) x common factors =1 x 1 = 1
LCM(947,553) = ( 947 × 553 ) / 1
LCM(947,553) = 523691 / 1
LCM(947,553) = 523691
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 3243/947, 7017/553?
Answer: GCF of Numerators as per given numbers 3243/947, 7017/553 is
GCF of Numerators i.e. for 3243,7017 is 3
LCM of denominators i.e. for 947,553 is 523691.
Thus, GCF of Fractions is 3/523691.Finally, GCF of Fractions for 3243/947, 7017/553 is 3/523691.