Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 833/201,9469/162
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 833,9469
Greatest Common Factor of Numerators i.e. GCF of 833,9469 is 17 .
LCM of Denominators means LCM of 201,162 as per the given fractions.
LCM of 201,162 is 10854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 833,9469
17 | 833, 9469 |
49, 557 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 9469
List of positive integer factors of 9469 that divides 9469 without a remainder.
1,17,557,9469
Greatest Common Factor
We found the factors 833,9469 . The biggest common factor number is the GCF number.
So the greatest common factor 833,9469 is 17.
Lets's calculate LCM of 201,162
3 | 201, 162 |
67, 54 |
∴ So the LCM of the given numbers is 3 x 67 x 54 = 10854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/10854
Therefore, the GCF of Fractions 833/201,9469/162 is 17/10854
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 201,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,162) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,162) x common factors =3 x 1 = 3
LCM(201,162) = ( 201 × 162 ) / 3
LCM(201,162) = 32562 / 3
LCM(201,162) = 10854
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 833/201, 9469/162?
Answer: GCF of Numerators as per given numbers 833/201, 9469/162 is
GCF of Numerators i.e. for 833,9469 is 17
LCM of denominators i.e. for 201,162 is 10854.
Thus, GCF of Fractions is 17/10854.Finally, GCF of Fractions for 833/201, 9469/162 is 17/10854.