Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1186/558,9951/6672
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 1186,9951
Greatest Common Factor of Numerators i.e. GCF of 1186,9951 is 1 .
LCM of Denominators means LCM of 558,6672 as per the given fractions.
LCM of 558,6672 is 620496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1186,9951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1186
List of positive integer factors of 1186 that divides 1186 without a remainder.
1,2,593,1186
Factors of 9951
List of positive integer factors of 9951 that divides 9951 without a remainder.
1,3,31,93,107,321,3317,9951
Greatest Common Factor
We found the factors 1186,9951 . The biggest common factor number is the GCF number.
So the greatest common factor 1186,9951 is 1.
Lets's calculate LCM of 558,6672
2 | 558, 6672 |
3 | 279, 3336 |
93, 1112 |
∴ So the LCM of the given numbers is 2 x 3 x 93 x 1112 = 620496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620496
Therefore, the GCF of Fractions 1186/558,9951/6672 is 1/620496
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 558,6672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,6672) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(558,6672) x common factors =6 x 1 = 6
LCM(558,6672) = ( 558 × 6672 ) / 6
LCM(558,6672) = 3722976 / 6
LCM(558,6672) = 620496
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 1186/558, 9951/6672?
Answer: GCF of Numerators as per given numbers 1186/558, 9951/6672 is
GCF of Numerators i.e. for 1186,9951 is 1
LCM of denominators i.e. for 558,6672 is 620496.
Thus, GCF of Fractions is 1/620496.Finally, GCF of Fractions for 1186/558, 9951/6672 is 1/620496.