Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3357/814,7218/5255
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 3357,7218
Greatest Common Factor of Numerators i.e. GCF of 3357,7218 is 9 .
LCM of Denominators means LCM of 814,5255 as per the given fractions.
LCM of 814,5255 is 4277570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3357,7218
3 | 3357, 7218 |
3 | 1119, 2406 |
373, 802 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 3357
List of positive integer factors of 3357 that divides 3357 without a remainder.
1,3,9,373,1119,3357
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
Greatest Common Factor
We found the factors 3357,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 3357,7218 is 9.
Lets's calculate LCM of 814,5255
Given numbers has no common factors except 1. So, there LCM is their product i.e 4277570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4277570
Therefore, the GCF of Fractions 3357/814,7218/5255 is 9/4277570
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 814,5255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,5255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,5255) x common factors =1 x 1 = 1
LCM(814,5255) = ( 814 × 5255 ) / 1
LCM(814,5255) = 4277570 / 1
LCM(814,5255) = 4277570
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 3357/814, 7218/5255?
Answer: GCF of Numerators as per given numbers 3357/814, 7218/5255 is
GCF of Numerators i.e. for 3357,7218 is 9
LCM of denominators i.e. for 814,5255 is 4277570.
Thus, GCF of Fractions is 9/4277570.Finally, GCF of Fractions for 3357/814, 7218/5255 is 9/4277570.