Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 850/86,588/9057
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 850,588
Greatest Common Factor of Numerators i.e. GCF of 850,588 is 2 .
LCM of Denominators means LCM of 86,9057 as per the given fractions.
LCM of 86,9057 is 778902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 850,588
2 | 850, 588 |
425, 294 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 850,588 . The biggest common factor number is the GCF number.
So the greatest common factor 850,588 is 2.
Lets's calculate LCM of 86,9057
Given numbers has no common factors except 1. So, there LCM is their product i.e 778902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/778902
Therefore, the GCF of Fractions 850/86,588/9057 is 2/778902
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 86,9057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,9057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,9057) x common factors =1 x 1 = 1
LCM(86,9057) = ( 86 × 9057 ) / 1
LCM(86,9057) = 778902 / 1
LCM(86,9057) = 778902
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 850/86, 588/9057?
Answer: GCF of Numerators as per given numbers 850/86, 588/9057 is
GCF of Numerators i.e. for 850,588 is 2
LCM of denominators i.e. for 86,9057 is 778902.
Thus, GCF of Fractions is 2/778902.Finally, GCF of Fractions for 850/86, 588/9057 is 2/778902.