Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 723/622,735/716
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 723,735
Greatest Common Factor of Numerators i.e. GCF of 723,735 is 3 .
LCM of Denominators means LCM of 622,716 as per the given fractions.
LCM of 622,716 is 222676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 723,735
3 | 723, 735 |
241, 245 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 723,735 . The biggest common factor number is the GCF number.
So the greatest common factor 723,735 is 3.
Lets's calculate LCM of 622,716
2 | 622, 716 |
311, 358 |
∴ So the LCM of the given numbers is 2 x 311 x 358 = 222676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/222676
Therefore, the GCF of Fractions 723/622,735/716 is 3/222676
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 622,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,716) x common factors =2 x 1 = 2
LCM(622,716) = ( 622 × 716 ) / 2
LCM(622,716) = 445352 / 2
LCM(622,716) = 222676
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 723/622, 735/716?
Answer: GCF of Numerators as per given numbers 723/622, 735/716 is
GCF of Numerators i.e. for 723,735 is 3
LCM of denominators i.e. for 622,716 is 222676.
Thus, GCF of Fractions is 3/222676.Finally, GCF of Fractions for 723/622, 735/716 is 3/222676.