Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 459/775,130/683
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 459,130
Greatest Common Factor of Numerators i.e. GCF of 459,130 is 1 .
LCM of Denominators means LCM of 775,683 as per the given fractions.
LCM of 775,683 is 529325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 459,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 459,130 . The biggest common factor number is the GCF number.
So the greatest common factor 459,130 is 1.
Lets's calculate LCM of 775,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 529325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529325
Therefore, the GCF of Fractions 459/775,130/683 is 1/529325
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 775,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,683) x common factors =1 x 1 = 1
LCM(775,683) = ( 775 × 683 ) / 1
LCM(775,683) = 529325 / 1
LCM(775,683) = 529325
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 459/775, 130/683?
Answer: GCF of Numerators as per given numbers 459/775, 130/683 is
GCF of Numerators i.e. for 459,130 is 1
LCM of denominators i.e. for 775,683 is 529325.
Thus, GCF of Fractions is 1/529325.Finally, GCF of Fractions for 459/775, 130/683 is 1/529325.