Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/97,74/32,371/61
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 60,74,371
Greatest Common Factor of Numerators i.e. GCF of 60,74,371 is 1 .
LCM of Denominators means LCM of 97,32,61 as per the given fractions.
LCM of 97,32,61 is 189344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,74,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 60,74,371 . The biggest common factor number is the GCF number.
So the greatest common factor 60,74,371 is 1.
Lets's calculate LCM of 97,32,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 189344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189344
Therefore, the GCF of Fractions 60/97,74/32,371/61 is 1/189344
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 97,32,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,32,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,32,61) x common factors =1 x 1 = 1
LCM(97,32,61) = ( 97 × 32 × 61 ) / 1
LCM(97,32,61) = 189344 / 1
LCM(97,32,61) = 189344
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 60/97, 74/32, 371/61?
Answer: GCF of Numerators as per given numbers 60/97, 74/32, 371/61 is
GCF of Numerators i.e. for 60,74,371 is 1
LCM of denominators i.e. for 97,32,61 is 189344.
Thus, GCF of Fractions is 1/189344.Finally, GCF of Fractions for 60/97, 74/32, 371/61 is 1/189344.