Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/3337,850/7471
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 520,850
Greatest Common Factor of Numerators i.e. GCF of 520,850 is 10 .
LCM of Denominators means LCM of 3337,7471 as per the given fractions.
LCM of 3337,7471 is 24930727 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 520,850
2 | 520, 850 |
5 | 260, 425 |
52, 85 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 520,850 . The biggest common factor number is the GCF number.
So the greatest common factor 520,850 is 10.
Lets's calculate LCM of 3337,7471
Given numbers has no common factors except 1. So, there LCM is their product i.e 24930727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/24930727
Therefore, the GCF of Fractions 520/3337,850/7471 is 10/24930727
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 3337,7471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3337,7471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3337,7471) x common factors =1 x 1 = 1
LCM(3337,7471) = ( 3337 × 7471 ) / 1
LCM(3337,7471) = 24930727 / 1
LCM(3337,7471) = 24930727
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 520/3337, 850/7471?
Answer: GCF of Numerators as per given numbers 520/3337, 850/7471 is
GCF of Numerators i.e. for 520,850 is 10
LCM of denominators i.e. for 3337,7471 is 24930727.
Thus, GCF of Fractions is 10/24930727.Finally, GCF of Fractions for 520/3337, 850/7471 is 10/24930727.