Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 642/83,690/75,855/511
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 642,690,855
Greatest Common Factor of Numerators i.e. GCF of 642,690,855 is 3 .
LCM of Denominators means LCM of 83,75,511 as per the given fractions.
LCM of 83,75,511 is 3180975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 642,690,855
3 | 642, 690, 855 |
214, 230, 285 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 642,690,855 . The biggest common factor number is the GCF number.
So the greatest common factor 642,690,855 is 3.
Lets's calculate LCM of 83,75,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 3180975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3180975
Therefore, the GCF of Fractions 642/83,690/75,855/511 is 3/3180975
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 83,75,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,75,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,75,511) x common factors =1 x 1 = 1
LCM(83,75,511) = ( 83 × 75 × 511 ) / 1
LCM(83,75,511) = 3180975 / 1
LCM(83,75,511) = 3180975
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 642/83, 690/75, 855/511?
Answer: GCF of Numerators as per given numbers 642/83, 690/75, 855/511 is
GCF of Numerators i.e. for 642,690,855 is 3
LCM of denominators i.e. for 83,75,511 is 3180975.
Thus, GCF of Fractions is 3/3180975.Finally, GCF of Fractions for 642/83, 690/75, 855/511 is 3/3180975.