Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6658/780,1788/433
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 6658,1788
Greatest Common Factor of Numerators i.e. GCF of 6658,1788 is 2 .
LCM of Denominators means LCM of 780,433 as per the given fractions.
LCM of 780,433 is 337740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6658,1788
2 | 6658, 1788 |
3329, 894 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6658
List of positive integer factors of 6658 that divides 6658 without a remainder.
1,2,3329,6658
Factors of 1788
List of positive integer factors of 1788 that divides 1788 without a remainder.
1,2,3,4,6,12,149,298,447,596,894,1788
Greatest Common Factor
We found the factors 6658,1788 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,1788 is 2.
Lets's calculate LCM of 780,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 337740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/337740
Therefore, the GCF of Fractions 6658/780,1788/433 is 2/337740
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 780,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(780,433) x common factors =1 x 1 = 1
LCM(780,433) = ( 780 × 433 ) / 1
LCM(780,433) = 337740 / 1
LCM(780,433) = 337740
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 6658/780, 1788/433?
Answer: GCF of Numerators as per given numbers 6658/780, 1788/433 is
GCF of Numerators i.e. for 6658,1788 is 2
LCM of denominators i.e. for 780,433 is 337740.
Thus, GCF of Fractions is 2/337740.Finally, GCF of Fractions for 6658/780, 1788/433 is 2/337740.