Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 858/83,663/13,969/951
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 858,663,969
Greatest Common Factor of Numerators i.e. GCF of 858,663,969 is 3 .
LCM of Denominators means LCM of 83,13,951 as per the given fractions.
LCM of 83,13,951 is 1026129 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 858,663,969
3 | 858, 663, 969 |
286, 221, 323 |
∴ So the GCF of the given numbers is 3 = 3
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 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 858,663,969 . The biggest common factor number is the GCF number.
So the greatest common factor 858,663,969 is 3.
Lets's calculate LCM of 83,13,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 1026129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1026129
Therefore, the GCF of Fractions 858/83,663/13,969/951 is 3/1026129
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 83,13,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,13,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,13,951) x common factors =1 x 1 = 1
LCM(83,13,951) = ( 83 × 13 × 951 ) / 1
LCM(83,13,951) = 1026129 / 1
LCM(83,13,951) = 1026129
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 858/83, 663/13, 969/951?
Answer: GCF of Numerators as per given numbers 858/83, 663/13, 969/951 is
GCF of Numerators i.e. for 858,663,969 is 3
LCM of denominators i.e. for 83,13,951 is 1026129.
Thus, GCF of Fractions is 3/1026129.Finally, GCF of Fractions for 858/83, 663/13, 969/951 is 3/1026129.