Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 849/73,355/58,971/29
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 849,355,971
Greatest Common Factor of Numerators i.e. GCF of 849,355,971 is 1 .
LCM of Denominators means LCM of 73,58,29 as per the given fractions.
LCM of 73,58,29 is 4234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 849,355,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 849,355,971 . The biggest common factor number is the GCF number.
So the greatest common factor 849,355,971 is 1.
Lets's calculate LCM of 73,58,29
29 | 73, 58, 29 |
73, 2, 1 |
∴ So the LCM of the given numbers is 29 x 73 x 2 x 1 = 4234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4234
Therefore, the GCF of Fractions 849/73,355/58,971/29 is 1/4234
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 73,58,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,58,29) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(73,58,29) x common factors =1 x 29 = 29
LCM(73,58,29) = ( 73 × 58 × 29 ) / 29
LCM(73,58,29) = 122786 / 29
LCM(73,58,29) = 4234
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 849/73, 355/58, 971/29?
Answer: GCF of Numerators as per given numbers 849/73, 355/58, 971/29 is
GCF of Numerators i.e. for 849,355,971 is 1
LCM of denominators i.e. for 73,58,29 is 4234.
Thus, GCF of Fractions is 1/4234.Finally, GCF of Fractions for 849/73, 355/58, 971/29 is 1/4234.