Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/37,5211/153
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 336,5211
Greatest Common Factor of Numerators i.e. GCF of 336,5211 is 3 .
LCM of Denominators means LCM of 37,153 as per the given fractions.
LCM of 37,153 is 5661 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 336,5211
3 | 336, 5211 |
112, 1737 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 5211
List of positive integer factors of 5211 that divides 5211 without a remainder.
1,3,9,27,193,579,1737,5211
Greatest Common Factor
We found the factors 336,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 336,5211 is 3.
Lets's calculate LCM of 37,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 5661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5661
Therefore, the GCF of Fractions 336/37,5211/153 is 3/5661
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 37,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,153) x common factors =1 x 1 = 1
LCM(37,153) = ( 37 × 153 ) / 1
LCM(37,153) = 5661 / 1
LCM(37,153) = 5661
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 336/37, 5211/153?
Answer: GCF of Numerators as per given numbers 336/37, 5211/153 is
GCF of Numerators i.e. for 336,5211 is 3
LCM of denominators i.e. for 37,153 is 5661.
Thus, GCF of Fractions is 3/5661.Finally, GCF of Fractions for 336/37, 5211/153 is 3/5661.