Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/409,57/683,245/817
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 87,57,245
Greatest Common Factor of Numerators i.e. GCF of 87,57,245 is 1 .
LCM of Denominators means LCM of 409,683,817 as per the given fractions.
LCM of 409,683,817 is 228226499 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,57,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 87,57,245 . The biggest common factor number is the GCF number.
So the greatest common factor 87,57,245 is 1.
Lets's calculate LCM of 409,683,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 228226499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228226499
Therefore, the GCF of Fractions 87/409,57/683,245/817 is 1/228226499
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 409,683,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,683,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,683,817) x common factors =1 x 1 = 1
LCM(409,683,817) = ( 409 × 683 × 817 ) / 1
LCM(409,683,817) = 228226499 / 1
LCM(409,683,817) = 228226499
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 87/409, 57/683, 245/817?
Answer: GCF of Numerators as per given numbers 87/409, 57/683, 245/817 is
GCF of Numerators i.e. for 87,57,245 is 1
LCM of denominators i.e. for 409,683,817 is 228226499.
Thus, GCF of Fractions is 1/228226499.Finally, GCF of Fractions for 87/409, 57/683, 245/817 is 1/228226499.