Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/11,802/72,589/86
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 88,802,589
Greatest Common Factor of Numerators i.e. GCF of 88,802,589 is 1 .
LCM of Denominators means LCM of 11,72,86 as per the given fractions.
LCM of 11,72,86 is 34056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,802,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 88,802,589 . The biggest common factor number is the GCF number.
So the greatest common factor 88,802,589 is 1.
Lets's calculate LCM of 11,72,86
2 | 11, 72, 86 |
11, 36, 43 |
∴ So the LCM of the given numbers is 2 x 11 x 36 x 43 = 34056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34056
Therefore, the GCF of Fractions 88/11,802/72,589/86 is 1/34056
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 11,72,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,72,86) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,72,86) x common factors =1 x 2 = 2
LCM(11,72,86) = ( 11 × 72 × 86 ) / 2
LCM(11,72,86) = 68112 / 2
LCM(11,72,86) = 34056
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 88/11, 802/72, 589/86?
Answer: GCF of Numerators as per given numbers 88/11, 802/72, 589/86 is
GCF of Numerators i.e. for 88,802,589 is 1
LCM of denominators i.e. for 11,72,86 is 34056.
Thus, GCF of Fractions is 1/34056.Finally, GCF of Fractions for 88/11, 802/72, 589/86 is 1/34056.