Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 367/53,161/61,318/492
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 367,161,318
Greatest Common Factor of Numerators i.e. GCF of 367,161,318 is 1 .
LCM of Denominators means LCM of 53,61,492 as per the given fractions.
LCM of 53,61,492 is 1590636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 367,161,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 367,161,318 . The biggest common factor number is the GCF number.
So the greatest common factor 367,161,318 is 1.
Lets's calculate LCM of 53,61,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 1590636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1590636
Therefore, the GCF of Fractions 367/53,161/61,318/492 is 1/1590636
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 53,61,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,61,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,61,492) x common factors =1 x 1 = 1
LCM(53,61,492) = ( 53 × 61 × 492 ) / 1
LCM(53,61,492) = 1590636 / 1
LCM(53,61,492) = 1590636
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 367/53, 161/61, 318/492?
Answer: GCF of Numerators as per given numbers 367/53, 161/61, 318/492 is
GCF of Numerators i.e. for 367,161,318 is 1
LCM of denominators i.e. for 53,61,492 is 1590636.
Thus, GCF of Fractions is 1/1590636.Finally, GCF of Fractions for 367/53, 161/61, 318/492 is 1/1590636.