Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/153,309/223,108/532
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 68,309,108
Greatest Common Factor of Numerators i.e. GCF of 68,309,108 is 1 .
LCM of Denominators means LCM of 153,223,532 as per the given fractions.
LCM of 153,223,532 is 18151308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,309,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 68,309,108 . The biggest common factor number is the GCF number.
So the greatest common factor 68,309,108 is 1.
Lets's calculate LCM of 153,223,532
Given numbers has no common factors except 1. So, there LCM is their product i.e 18151308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18151308
Therefore, the GCF of Fractions 68/153,309/223,108/532 is 1/18151308
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 153,223,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,223,532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,223,532) x common factors =1 x 1 = 1
LCM(153,223,532) = ( 153 × 223 × 532 ) / 1
LCM(153,223,532) = 18151308 / 1
LCM(153,223,532) = 18151308
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 68/153, 309/223, 108/532?
Answer: GCF of Numerators as per given numbers 68/153, 309/223, 108/532 is
GCF of Numerators i.e. for 68,309,108 is 1
LCM of denominators i.e. for 153,223,532 is 18151308.
Thus, GCF of Fractions is 1/18151308.Finally, GCF of Fractions for 68/153, 309/223, 108/532 is 1/18151308.