Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3957/712,3574/667
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 3957,3574
Greatest Common Factor of Numerators i.e. GCF of 3957,3574 is 1 .
LCM of Denominators means LCM of 712,667 as per the given fractions.
LCM of 712,667 is 474904 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3957,3574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3957
List of positive integer factors of 3957 that divides 3957 without a remainder.
1,3,1319,3957
Factors of 3574
List of positive integer factors of 3574 that divides 3574 without a remainder.
1,2,1787,3574
Greatest Common Factor
We found the factors 3957,3574 . The biggest common factor number is the GCF number.
So the greatest common factor 3957,3574 is 1.
Lets's calculate LCM of 712,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 474904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474904
Therefore, the GCF of Fractions 3957/712,3574/667 is 1/474904
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 712,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(712,667) x common factors =1 x 1 = 1
LCM(712,667) = ( 712 × 667 ) / 1
LCM(712,667) = 474904 / 1
LCM(712,667) = 474904
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 3957/712, 3574/667?
Answer: GCF of Numerators as per given numbers 3957/712, 3574/667 is
GCF of Numerators i.e. for 3957,3574 is 1
LCM of denominators i.e. for 712,667 is 474904.
Thus, GCF of Fractions is 1/474904.Finally, GCF of Fractions for 3957/712, 3574/667 is 1/474904.