Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/26,793/870
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 183,793
Greatest Common Factor of Numerators i.e. GCF of 183,793 is 61 .
LCM of Denominators means LCM of 26,870 as per the given fractions.
LCM of 26,870 is 11310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,793
61 | 183, 793 |
3, 13 |
∴ So the GCF of the given numbers is 61 = 61
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Greatest Common Factor
We found the factors 183,793 . The biggest common factor number is the GCF number.
So the greatest common factor 183,793 is 61.
Lets's calculate LCM of 26,870
2 | 26, 870 |
13, 435 |
∴ So the LCM of the given numbers is 2 x 13 x 435 = 11310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/11310
Therefore, the GCF of Fractions 183/26,793/870 is 61/11310
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 26,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,870) x common factors =2 x 1 = 2
LCM(26,870) = ( 26 × 870 ) / 2
LCM(26,870) = 22620 / 2
LCM(26,870) = 11310
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 183/26, 793/870?
Answer: GCF of Numerators as per given numbers 183/26, 793/870 is
GCF of Numerators i.e. for 183,793 is 61
LCM of denominators i.e. for 26,870 is 11310.
Thus, GCF of Fractions is 61/11310.Finally, GCF of Fractions for 183/26, 793/870 is 61/11310.