Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3351/218,9784/609
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 3351,9784
Greatest Common Factor of Numerators i.e. GCF of 3351,9784 is 1 .
LCM of Denominators means LCM of 218,609 as per the given fractions.
LCM of 218,609 is 132762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3351,9784
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3351
List of positive integer factors of 3351 that divides 3351 without a remainder.
1,3,1117,3351
Factors of 9784
List of positive integer factors of 9784 that divides 9784 without a remainder.
1,2,4,8,1223,2446,4892,9784
Greatest Common Factor
We found the factors 3351,9784 . The biggest common factor number is the GCF number.
So the greatest common factor 3351,9784 is 1.
Lets's calculate LCM of 218,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 132762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132762
Therefore, the GCF of Fractions 3351/218,9784/609 is 1/132762
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 218,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,609) x common factors =1 x 1 = 1
LCM(218,609) = ( 218 × 609 ) / 1
LCM(218,609) = 132762 / 1
LCM(218,609) = 132762
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 3351/218, 9784/609?
Answer: GCF of Numerators as per given numbers 3351/218, 9784/609 is
GCF of Numerators i.e. for 3351,9784 is 1
LCM of denominators i.e. for 218,609 is 132762.
Thus, GCF of Fractions is 1/132762.Finally, GCF of Fractions for 3351/218, 9784/609 is 1/132762.