Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/69,146/34,204/91
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 1,146,204
Greatest Common Factor of Numerators i.e. GCF of 1,146,204 is 1 .
LCM of Denominators means LCM of 69,34,91 as per the given fractions.
LCM of 69,34,91 is 213486 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,146,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 1,146,204 . The biggest common factor number is the GCF number.
So the greatest common factor 1,146,204 is 1.
Lets's calculate LCM of 69,34,91
Given numbers has no common factors except 1. So, there LCM is their product i.e 213486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213486
Therefore, the GCF of Fractions 1/69,146/34,204/91 is 1/213486
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 69,34,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,34,91) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,34,91) x common factors =1 x 1 = 1
LCM(69,34,91) = ( 69 × 34 × 91 ) / 1
LCM(69,34,91) = 213486 / 1
LCM(69,34,91) = 213486
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 1/69, 146/34, 204/91?
Answer: GCF of Numerators as per given numbers 1/69, 146/34, 204/91 is
GCF of Numerators i.e. for 1,146,204 is 1
LCM of denominators i.e. for 69,34,91 is 213486.
Thus, GCF of Fractions is 1/213486.Finally, GCF of Fractions for 1/69, 146/34, 204/91 is 1/213486.