Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9631/87,3029/111
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 9631,3029
Greatest Common Factor of Numerators i.e. GCF of 9631,3029 is 1 .
LCM of Denominators means LCM of 87,111 as per the given fractions.
LCM of 87,111 is 3219 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9631,3029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9631
List of positive integer factors of 9631 that divides 9631 without a remainder.
1,9631
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1,13,233,3029
Greatest Common Factor
We found the factors 9631,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 9631,3029 is 1.
Lets's calculate LCM of 87,111
3 | 87, 111 |
29, 37 |
∴ So the LCM of the given numbers is 3 x 29 x 37 = 3219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3219
Therefore, the GCF of Fractions 9631/87,3029/111 is 1/3219
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 87,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,111) x common factors =3 x 1 = 3
LCM(87,111) = ( 87 × 111 ) / 3
LCM(87,111) = 9657 / 3
LCM(87,111) = 3219
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 9631/87, 3029/111?
Answer: GCF of Numerators as per given numbers 9631/87, 3029/111 is
GCF of Numerators i.e. for 9631,3029 is 1
LCM of denominators i.e. for 87,111 is 3219.
Thus, GCF of Fractions is 1/3219.Finally, GCF of Fractions for 9631/87, 3029/111 is 1/3219.