Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/93,50/137,844/161
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 84,50,844
Greatest Common Factor of Numerators i.e. GCF of 84,50,844 is 2 .
LCM of Denominators means LCM of 93,137,161 as per the given fractions.
LCM of 93,137,161 is 2051301 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,50,844
2 | 84, 50, 844 |
42, 25, 422 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 84,50,844 . The biggest common factor number is the GCF number.
So the greatest common factor 84,50,844 is 2.
Lets's calculate LCM of 93,137,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 2051301
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2051301
Therefore, the GCF of Fractions 84/93,50/137,844/161 is 2/2051301
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 93,137,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,137,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,137,161) x common factors =1 x 1 = 1
LCM(93,137,161) = ( 93 × 137 × 161 ) / 1
LCM(93,137,161) = 2051301 / 1
LCM(93,137,161) = 2051301
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 84/93, 50/137, 844/161?
Answer: GCF of Numerators as per given numbers 84/93, 50/137, 844/161 is
GCF of Numerators i.e. for 84,50,844 is 2
LCM of denominators i.e. for 93,137,161 is 2051301.
Thus, GCF of Fractions is 2/2051301.Finally, GCF of Fractions for 84/93, 50/137, 844/161 is 2/2051301.