Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7719/523,2643/348
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 7719,2643
Greatest Common Factor of Numerators i.e. GCF of 7719,2643 is 3 .
LCM of Denominators means LCM of 523,348 as per the given fractions.
LCM of 523,348 is 182004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7719,2643
3 | 7719, 2643 |
2573, 881 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7719
List of positive integer factors of 7719 that divides 7719 without a remainder.
1,3,31,83,93,249,2573,7719
Factors of 2643
List of positive integer factors of 2643 that divides 2643 without a remainder.
1,3,881,2643
Greatest Common Factor
We found the factors 7719,2643 . The biggest common factor number is the GCF number.
So the greatest common factor 7719,2643 is 3.
Lets's calculate LCM of 523,348
Given numbers has no common factors except 1. So, there LCM is their product i.e 182004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/182004
Therefore, the GCF of Fractions 7719/523,2643/348 is 3/182004
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 523,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,348) x common factors =1 x 1 = 1
LCM(523,348) = ( 523 × 348 ) / 1
LCM(523,348) = 182004 / 1
LCM(523,348) = 182004
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 7719/523, 2643/348?
Answer: GCF of Numerators as per given numbers 7719/523, 2643/348 is
GCF of Numerators i.e. for 7719,2643 is 3
LCM of denominators i.e. for 523,348 is 182004.
Thus, GCF of Fractions is 3/182004.Finally, GCF of Fractions for 7719/523, 2643/348 is 3/182004.