Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/83,97/67,422/74
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 13,97,422
Greatest Common Factor of Numerators i.e. GCF of 13,97,422 is 1 .
LCM of Denominators means LCM of 83,67,74 as per the given fractions.
LCM of 83,67,74 is 411514 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,97,422
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 13,97,422 . The biggest common factor number is the GCF number.
So the greatest common factor 13,97,422 is 1.
Lets's calculate LCM of 83,67,74
Given numbers has no common factors except 1. So, there LCM is their product i.e 411514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411514
Therefore, the GCF of Fractions 13/83,97/67,422/74 is 1/411514
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 83,67,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,67,74) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,67,74) x common factors =1 x 1 = 1
LCM(83,67,74) = ( 83 × 67 × 74 ) / 1
LCM(83,67,74) = 411514 / 1
LCM(83,67,74) = 411514
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 13/83, 97/67, 422/74?
Answer: GCF of Numerators as per given numbers 13/83, 97/67, 422/74 is
GCF of Numerators i.e. for 13,97,422 is 1
LCM of denominators i.e. for 83,67,74 is 411514.
Thus, GCF of Fractions is 1/411514.Finally, GCF of Fractions for 13/83, 97/67, 422/74 is 1/411514.