Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9591/139,9336/492
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 9591,9336
Greatest Common Factor of Numerators i.e. GCF of 9591,9336 is 3 .
LCM of Denominators means LCM of 139,492 as per the given fractions.
LCM of 139,492 is 68388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9591,9336
3 | 9591, 9336 |
3197, 3112 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1,3,23,69,139,417,3197,9591
Factors of 9336
List of positive integer factors of 9336 that divides 9336 without a remainder.
1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336
Greatest Common Factor
We found the factors 9591,9336 . The biggest common factor number is the GCF number.
So the greatest common factor 9591,9336 is 3.
Lets's calculate LCM of 139,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 68388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68388
Therefore, the GCF of Fractions 9591/139,9336/492 is 3/68388
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 139,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,492) x common factors =1 x 1 = 1
LCM(139,492) = ( 139 × 492 ) / 1
LCM(139,492) = 68388 / 1
LCM(139,492) = 68388
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 9591/139, 9336/492?
Answer: GCF of Numerators as per given numbers 9591/139, 9336/492 is
GCF of Numerators i.e. for 9591,9336 is 3
LCM of denominators i.e. for 139,492 is 68388.
Thus, GCF of Fractions is 3/68388.Finally, GCF of Fractions for 9591/139, 9336/492 is 3/68388.