Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/67,1623/856
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 151,1623
Greatest Common Factor of Numerators i.e. GCF of 151,1623 is 1 .
LCM of Denominators means LCM of 67,856 as per the given fractions.
LCM of 67,856 is 57352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 151,1623
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 1623
List of positive integer factors of 1623 that divides 1623 without a remainder.
1,3,541,1623
Greatest Common Factor
We found the factors 151,1623 . The biggest common factor number is the GCF number.
So the greatest common factor 151,1623 is 1.
Lets's calculate LCM of 67,856
Given numbers has no common factors except 1. So, there LCM is their product i.e 57352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57352
Therefore, the GCF of Fractions 151/67,1623/856 is 1/57352
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 67,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,856) x common factors =1 x 1 = 1
LCM(67,856) = ( 67 × 856 ) / 1
LCM(67,856) = 57352 / 1
LCM(67,856) = 57352
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 151/67, 1623/856?
Answer: GCF of Numerators as per given numbers 151/67, 1623/856 is
GCF of Numerators i.e. for 151,1623 is 1
LCM of denominators i.e. for 67,856 is 57352.
Thus, GCF of Fractions is 1/57352.Finally, GCF of Fractions for 151/67, 1623/856 is 1/57352.