Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1753/331,7135/219
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 1753,7135
Greatest Common Factor of Numerators i.e. GCF of 1753,7135 is 1 .
LCM of Denominators means LCM of 331,219 as per the given fractions.
LCM of 331,219 is 72489 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1753,7135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1753
List of positive integer factors of 1753 that divides 1753 without a remainder.
1,1753
Factors of 7135
List of positive integer factors of 7135 that divides 7135 without a remainder.
1,5,1427,7135
Greatest Common Factor
We found the factors 1753,7135 . The biggest common factor number is the GCF number.
So the greatest common factor 1753,7135 is 1.
Lets's calculate LCM of 331,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 72489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72489
Therefore, the GCF of Fractions 1753/331,7135/219 is 1/72489
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 331,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,219) x common factors =1 x 1 = 1
LCM(331,219) = ( 331 × 219 ) / 1
LCM(331,219) = 72489 / 1
LCM(331,219) = 72489
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 1753/331, 7135/219?
Answer: GCF of Numerators as per given numbers 1753/331, 7135/219 is
GCF of Numerators i.e. for 1753,7135 is 1
LCM of denominators i.e. for 331,219 is 72489.
Thus, GCF of Fractions is 1/72489.Finally, GCF of Fractions for 1753/331, 7135/219 is 1/72489.