Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2219/440,7463/587
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 2219,7463
Greatest Common Factor of Numerators i.e. GCF of 2219,7463 is 1 .
LCM of Denominators means LCM of 440,587 as per the given fractions.
LCM of 440,587 is 258280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2219,7463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2219
List of positive integer factors of 2219 that divides 2219 without a remainder.
1,7,317,2219
Factors of 7463
List of positive integer factors of 7463 that divides 7463 without a remainder.
1,17,439,7463
Greatest Common Factor
We found the factors 2219,7463 . The biggest common factor number is the GCF number.
So the greatest common factor 2219,7463 is 1.
Lets's calculate LCM of 440,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 258280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258280
Therefore, the GCF of Fractions 2219/440,7463/587 is 1/258280
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 440,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,587) x common factors =1 x 1 = 1
LCM(440,587) = ( 440 × 587 ) / 1
LCM(440,587) = 258280 / 1
LCM(440,587) = 258280
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 2219/440, 7463/587?
Answer: GCF of Numerators as per given numbers 2219/440, 7463/587 is
GCF of Numerators i.e. for 2219,7463 is 1
LCM of denominators i.e. for 440,587 is 258280.
Thus, GCF of Fractions is 1/258280.Finally, GCF of Fractions for 2219/440, 7463/587 is 1/258280.