Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3435/39,2097/974
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 3435,2097
Greatest Common Factor of Numerators i.e. GCF of 3435,2097 is 3 .
LCM of Denominators means LCM of 39,974 as per the given fractions.
LCM of 39,974 is 37986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3435,2097
3 | 3435, 2097 |
1145, 699 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3435
List of positive integer factors of 3435 that divides 3435 without a remainder.
1,3,5,15,229,687,1145,3435
Factors of 2097
List of positive integer factors of 2097 that divides 2097 without a remainder.
1,3,9,233,699,2097
Greatest Common Factor
We found the factors 3435,2097 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,2097 is 3.
Lets's calculate LCM of 39,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 37986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37986
Therefore, the GCF of Fractions 3435/39,2097/974 is 3/37986
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 39,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,974) x common factors =1 x 1 = 1
LCM(39,974) = ( 39 × 974 ) / 1
LCM(39,974) = 37986 / 1
LCM(39,974) = 37986
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 3435/39, 2097/974?
Answer: GCF of Numerators as per given numbers 3435/39, 2097/974 is
GCF of Numerators i.e. for 3435,2097 is 3
LCM of denominators i.e. for 39,974 is 37986.
Thus, GCF of Fractions is 3/37986.Finally, GCF of Fractions for 3435/39, 2097/974 is 3/37986.