Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 785/468,3340/497
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 785,3340
Greatest Common Factor of Numerators i.e. GCF of 785,3340 is 5 .
LCM of Denominators means LCM of 468,497 as per the given fractions.
LCM of 468,497 is 232596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 785,3340
5 | 785, 3340 |
157, 668 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 3340
List of positive integer factors of 3340 that divides 3340 without a remainder.
1,2,4,5,10,20,167,334,668,835,1670,3340
Greatest Common Factor
We found the factors 785,3340 . The biggest common factor number is the GCF number.
So the greatest common factor 785,3340 is 5.
Lets's calculate LCM of 468,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 232596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/232596
Therefore, the GCF of Fractions 785/468,3340/497 is 5/232596
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 468,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(468,497) x common factors =1 x 1 = 1
LCM(468,497) = ( 468 × 497 ) / 1
LCM(468,497) = 232596 / 1
LCM(468,497) = 232596
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 785/468, 3340/497?
Answer: GCF of Numerators as per given numbers 785/468, 3340/497 is
GCF of Numerators i.e. for 785,3340 is 5
LCM of denominators i.e. for 468,497 is 232596.
Thus, GCF of Fractions is 5/232596.Finally, GCF of Fractions for 785/468, 3340/497 is 5/232596.