Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2173/912,2063/332
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 2173,2063
Greatest Common Factor of Numerators i.e. GCF of 2173,2063 is 1 .
LCM of Denominators means LCM of 912,332 as per the given fractions.
LCM of 912,332 is 75696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2173,2063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1,41,53,2173
Factors of 2063
List of positive integer factors of 2063 that divides 2063 without a remainder.
1,2063
Greatest Common Factor
We found the factors 2173,2063 . The biggest common factor number is the GCF number.
So the greatest common factor 2173,2063 is 1.
Lets's calculate LCM of 912,332
2 | 912, 332 |
2 | 456, 166 |
228, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 228 x 83 = 75696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75696
Therefore, the GCF of Fractions 2173/912,2063/332 is 1/75696
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 912,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,332) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(912,332) x common factors =4 x 1 = 4
LCM(912,332) = ( 912 × 332 ) / 4
LCM(912,332) = 302784 / 4
LCM(912,332) = 75696
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 2173/912, 2063/332?
Answer: GCF of Numerators as per given numbers 2173/912, 2063/332 is
GCF of Numerators i.e. for 2173,2063 is 1
LCM of denominators i.e. for 912,332 is 75696.
Thus, GCF of Fractions is 1/75696.Finally, GCF of Fractions for 2173/912, 2063/332 is 1/75696.