Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/27,169/8814
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 950,169
Greatest Common Factor of Numerators i.e. GCF of 950,169 is 1 .
LCM of Denominators means LCM of 27,8814 as per the given fractions.
LCM of 27,8814 is 79326 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 950,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors 950,169 . The biggest common factor number is the GCF number.
So the greatest common factor 950,169 is 1.
Lets's calculate LCM of 27,8814
3 | 27, 8814 |
9, 2938 |
∴ So the LCM of the given numbers is 3 x 9 x 2938 = 79326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79326
Therefore, the GCF of Fractions 950/27,169/8814 is 1/79326
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 27,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,8814) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,8814) x common factors =3 x 1 = 3
LCM(27,8814) = ( 27 × 8814 ) / 3
LCM(27,8814) = 237978 / 3
LCM(27,8814) = 79326
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 950/27, 169/8814?
Answer: GCF of Numerators as per given numbers 950/27, 169/8814 is
GCF of Numerators i.e. for 950,169 is 1
LCM of denominators i.e. for 27,8814 is 79326.
Thus, GCF of Fractions is 1/79326.Finally, GCF of Fractions for 950/27, 169/8814 is 1/79326.