Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/221,853/924
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 186,853
Greatest Common Factor of Numerators i.e. GCF of 186,853 is 1 .
LCM of Denominators means LCM of 221,924 as per the given fractions.
LCM of 221,924 is 204204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 186,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Greatest Common Factor
We found the factors 186,853 . The biggest common factor number is the GCF number.
So the greatest common factor 186,853 is 1.
Lets's calculate LCM of 221,924
Given numbers has no common factors except 1. So, there LCM is their product i.e 204204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204204
Therefore, the GCF of Fractions 186/221,853/924 is 1/204204
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 221,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,924) x common factors =1 x 1 = 1
LCM(221,924) = ( 221 × 924 ) / 1
LCM(221,924) = 204204 / 1
LCM(221,924) = 204204
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 186/221, 853/924?
Answer: GCF of Numerators as per given numbers 186/221, 853/924 is
GCF of Numerators i.e. for 186,853 is 1
LCM of denominators i.e. for 221,924 is 204204.
Thus, GCF of Fractions is 1/204204.Finally, GCF of Fractions for 186/221, 853/924 is 1/204204.