Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/174,2373/512
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 211,2373
Greatest Common Factor of Numerators i.e. GCF of 211,2373 is 1 .
LCM of Denominators means LCM of 174,512 as per the given fractions.
LCM of 174,512 is 44544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 211,2373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1,3,7,21,113,339,791,2373
Greatest Common Factor
We found the factors 211,2373 . The biggest common factor number is the GCF number.
So the greatest common factor 211,2373 is 1.
Lets's calculate LCM of 174,512
2 | 174, 512 |
87, 256 |
∴ So the LCM of the given numbers is 2 x 87 x 256 = 44544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44544
Therefore, the GCF of Fractions 211/174,2373/512 is 1/44544
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 174,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,512) x common factors =2 x 1 = 2
LCM(174,512) = ( 174 × 512 ) / 2
LCM(174,512) = 89088 / 2
LCM(174,512) = 44544
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 211/174, 2373/512?
Answer: GCF of Numerators as per given numbers 211/174, 2373/512 is
GCF of Numerators i.e. for 211,2373 is 1
LCM of denominators i.e. for 174,512 is 44544.
Thus, GCF of Fractions is 1/44544.Finally, GCF of Fractions for 211/174, 2373/512 is 1/44544.