Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 590/695,314/412,115/909
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 590,314,115
Greatest Common Factor of Numerators i.e. GCF of 590,314,115 is 1 .
LCM of Denominators means LCM of 695,412,909 as per the given fractions.
LCM of 695,412,909 is 260283060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 590,314,115
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Greatest Common Factor
We found the factors 590,314,115 . The biggest common factor number is the GCF number.
So the greatest common factor 590,314,115 is 1.
Lets's calculate LCM of 695,412,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 260283060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260283060
Therefore, the GCF of Fractions 590/695,314/412,115/909 is 1/260283060
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 695,412,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,412,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,412,909) x common factors =1 x 1 = 1
LCM(695,412,909) = ( 695 × 412 × 909 ) / 1
LCM(695,412,909) = 260283060 / 1
LCM(695,412,909) = 260283060
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 590/695, 314/412, 115/909?
Answer: GCF of Numerators as per given numbers 590/695, 314/412, 115/909 is
GCF of Numerators i.e. for 590,314,115 is 1
LCM of denominators i.e. for 695,412,909 is 260283060.
Thus, GCF of Fractions is 1/260283060.Finally, GCF of Fractions for 590/695, 314/412, 115/909 is 1/260283060.