Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 858/85,2310/418
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 858,2310
Greatest Common Factor of Numerators i.e. GCF of 858,2310 is 66 .
LCM of Denominators means LCM of 85,418 as per the given fractions.
LCM of 85,418 is 35530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 858,2310
2 | 858, 2310 |
3 | 429, 1155 |
11 | 143, 385 |
13, 35 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 2310
List of positive integer factors of 2310 that divides 2310 without a remainder.
1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310
Greatest Common Factor
We found the factors 858,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 858,2310 is 66.
Lets's calculate LCM of 85,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 35530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/35530
Therefore, the GCF of Fractions 858/85,2310/418 is 66/35530
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 85,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,418) x common factors =1 x 1 = 1
LCM(85,418) = ( 85 × 418 ) / 1
LCM(85,418) = 35530 / 1
LCM(85,418) = 35530
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 858/85, 2310/418?
Answer: GCF of Numerators as per given numbers 858/85, 2310/418 is
GCF of Numerators i.e. for 858,2310 is 66
LCM of denominators i.e. for 85,418 is 35530.
Thus, GCF of Fractions is 66/35530.Finally, GCF of Fractions for 858/85, 2310/418 is 66/35530.