Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/33,951/49,873/821
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 186,951,873
Greatest Common Factor of Numerators i.e. GCF of 186,951,873 is 3 .
LCM of Denominators means LCM of 33,49,821 as per the given fractions.
LCM of 33,49,821 is 1327557 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 186,951,873
3 | 186, 951, 873 |
62, 317, 291 |
∴ So the GCF of the given numbers is 3 = 3
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 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 186,951,873 . The biggest common factor number is the GCF number.
So the greatest common factor 186,951,873 is 3.
Lets's calculate LCM of 33,49,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 1327557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1327557
Therefore, the GCF of Fractions 186/33,951/49,873/821 is 3/1327557
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 33,49,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,49,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,49,821) x common factors =1 x 1 = 1
LCM(33,49,821) = ( 33 × 49 × 821 ) / 1
LCM(33,49,821) = 1327557 / 1
LCM(33,49,821) = 1327557
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 186/33, 951/49, 873/821?
Answer: GCF of Numerators as per given numbers 186/33, 951/49, 873/821 is
GCF of Numerators i.e. for 186,951,873 is 3
LCM of denominators i.e. for 33,49,821 is 1327557.
Thus, GCF of Fractions is 3/1327557.Finally, GCF of Fractions for 186/33, 951/49, 873/821 is 3/1327557.