Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 164/67,215/53,703/120
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 164,215,703
Greatest Common Factor of Numerators i.e. GCF of 164,215,703 is 1 .
LCM of Denominators means LCM of 67,53,120 as per the given fractions.
LCM of 67,53,120 is 426120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 164,215,703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 164,215,703 . The biggest common factor number is the GCF number.
So the greatest common factor 164,215,703 is 1.
Lets's calculate LCM of 67,53,120
Given numbers has no common factors except 1. So, there LCM is their product i.e 426120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426120
Therefore, the GCF of Fractions 164/67,215/53,703/120 is 1/426120
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 67,53,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,53,120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,53,120) x common factors =1 x 1 = 1
LCM(67,53,120) = ( 67 × 53 × 120 ) / 1
LCM(67,53,120) = 426120 / 1
LCM(67,53,120) = 426120
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 164/67, 215/53, 703/120?
Answer: GCF of Numerators as per given numbers 164/67, 215/53, 703/120 is
GCF of Numerators i.e. for 164,215,703 is 1
LCM of denominators i.e. for 67,53,120 is 426120.
Thus, GCF of Fractions is 1/426120.Finally, GCF of Fractions for 164/67, 215/53, 703/120 is 1/426120.