Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 569/44,391/83,610/955
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 569,391,610
Greatest Common Factor of Numerators i.e. GCF of 569,391,610 is 1 .
LCM of Denominators means LCM of 44,83,955 as per the given fractions.
LCM of 44,83,955 is 3487660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 569,391,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 569,391,610 . The biggest common factor number is the GCF number.
So the greatest common factor 569,391,610 is 1.
Lets's calculate LCM of 44,83,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 3487660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3487660
Therefore, the GCF of Fractions 569/44,391/83,610/955 is 1/3487660
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 44,83,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,83,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,83,955) x common factors =1 x 1 = 1
LCM(44,83,955) = ( 44 × 83 × 955 ) / 1
LCM(44,83,955) = 3487660 / 1
LCM(44,83,955) = 3487660
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 569/44, 391/83, 610/955?
Answer: GCF of Numerators as per given numbers 569/44, 391/83, 610/955 is
GCF of Numerators i.e. for 569,391,610 is 1
LCM of denominators i.e. for 44,83,955 is 3487660.
Thus, GCF of Fractions is 1/3487660.Finally, GCF of Fractions for 569/44, 391/83, 610/955 is 1/3487660.