Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/577,8658/790
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 666,8658
Greatest Common Factor of Numerators i.e. GCF of 666,8658 is 666 .
LCM of Denominators means LCM of 577,790 as per the given fractions.
LCM of 577,790 is 455830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 666,8658
2 | 666, 8658 |
3 | 333, 4329 |
3 | 111, 1443 |
37 | 37, 481 |
1, 13 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 37 = 666
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 8658
List of positive integer factors of 8658 that divides 8658 without a remainder.
1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Greatest Common Factor
We found the factors 666,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 666,8658 is 666.
Lets's calculate LCM of 577,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 455830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 666/455830
Therefore, the GCF of Fractions 666/577,8658/790 is 666/455830
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 577,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,790) x common factors =1 x 1 = 1
LCM(577,790) = ( 577 × 790 ) / 1
LCM(577,790) = 455830 / 1
LCM(577,790) = 455830
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 666/577, 8658/790?
Answer: GCF of Numerators as per given numbers 666/577, 8658/790 is
GCF of Numerators i.e. for 666,8658 is 666
LCM of denominators i.e. for 577,790 is 455830.
Thus, GCF of Fractions is 666/455830.Finally, GCF of Fractions for 666/577, 8658/790 is 666/455830.