Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7218/533,3404/6670
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 7218,3404
Greatest Common Factor of Numerators i.e. GCF of 7218,3404 is 2 .
LCM of Denominators means LCM of 533,6670 as per the given fractions.
LCM of 533,6670 is 3555110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7218,3404
2 | 7218, 3404 |
3609, 1702 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7218
List of positive integer factors of 7218 that divides 7218 without a remainder.
1,2,3,6,9,18,401,802,1203,2406,3609,7218
Factors of 3404
List of positive integer factors of 3404 that divides 3404 without a remainder.
1,2,4,23,37,46,74,92,148,851,1702,3404
Greatest Common Factor
We found the factors 7218,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 7218,3404 is 2.
Lets's calculate LCM of 533,6670
Given numbers has no common factors except 1. So, there LCM is their product i.e 3555110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3555110
Therefore, the GCF of Fractions 7218/533,3404/6670 is 2/3555110
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 533,6670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,6670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,6670) x common factors =1 x 1 = 1
LCM(533,6670) = ( 533 × 6670 ) / 1
LCM(533,6670) = 3555110 / 1
LCM(533,6670) = 3555110
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 7218/533, 3404/6670?
Answer: GCF of Numerators as per given numbers 7218/533, 3404/6670 is
GCF of Numerators i.e. for 7218,3404 is 2
LCM of denominators i.e. for 533,6670 is 3555110.
Thus, GCF of Fractions is 2/3555110.Finally, GCF of Fractions for 7218/533, 3404/6670 is 2/3555110.