Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/363,9414/413
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 652,9414
Greatest Common Factor of Numerators i.e. GCF of 652,9414 is 2 .
LCM of Denominators means LCM of 363,413 as per the given fractions.
LCM of 363,413 is 149919 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 652,9414
2 | 652, 9414 |
326, 4707 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 9414
List of positive integer factors of 9414 that divides 9414 without a remainder.
1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Greatest Common Factor
We found the factors 652,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 652,9414 is 2.
Lets's calculate LCM of 363,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 149919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149919
Therefore, the GCF of Fractions 652/363,9414/413 is 2/149919
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 363,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,413) x common factors =1 x 1 = 1
LCM(363,413) = ( 363 × 413 ) / 1
LCM(363,413) = 149919 / 1
LCM(363,413) = 149919
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 652/363, 9414/413?
Answer: GCF of Numerators as per given numbers 652/363, 9414/413 is
GCF of Numerators i.e. for 652,9414 is 2
LCM of denominators i.e. for 363,413 is 149919.
Thus, GCF of Fractions is 2/149919.Finally, GCF of Fractions for 652/363, 9414/413 is 2/149919.