Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/289,54/172,774/671
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 86,54,774
Greatest Common Factor of Numerators i.e. GCF of 86,54,774 is 2 .
LCM of Denominators means LCM of 289,172,671 as per the given fractions.
LCM of 289,172,671 is 33354068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,54,774
2 | 86, 54, 774 |
43, 27, 387 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 86,54,774 . The biggest common factor number is the GCF number.
So the greatest common factor 86,54,774 is 2.
Lets's calculate LCM of 289,172,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 33354068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33354068
Therefore, the GCF of Fractions 86/289,54/172,774/671 is 2/33354068
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 289,172,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,172,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,172,671) x common factors =1 x 1 = 1
LCM(289,172,671) = ( 289 × 172 × 671 ) / 1
LCM(289,172,671) = 33354068 / 1
LCM(289,172,671) = 33354068
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 86/289, 54/172, 774/671?
Answer: GCF of Numerators as per given numbers 86/289, 54/172, 774/671 is
GCF of Numerators i.e. for 86,54,774 is 2
LCM of denominators i.e. for 289,172,671 is 33354068.
Thus, GCF of Fractions is 2/33354068.Finally, GCF of Fractions for 86/289, 54/172, 774/671 is 2/33354068.