Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/95,8822/659
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 132,8822
Greatest Common Factor of Numerators i.e. GCF of 132,8822 is 22 .
LCM of Denominators means LCM of 95,659 as per the given fractions.
LCM of 95,659 is 62605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 132,8822
2 | 132, 8822 |
11 | 66, 4411 |
6, 401 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 8822
List of positive integer factors of 8822 that divides 8822 without a remainder.
1,2,11,22,401,802,4411,8822
Greatest Common Factor
We found the factors 132,8822 . The biggest common factor number is the GCF number.
So the greatest common factor 132,8822 is 22.
Lets's calculate LCM of 95,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 62605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/62605
Therefore, the GCF of Fractions 132/95,8822/659 is 22/62605
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 95,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,659) x common factors =1 x 1 = 1
LCM(95,659) = ( 95 × 659 ) / 1
LCM(95,659) = 62605 / 1
LCM(95,659) = 62605
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 132/95, 8822/659?
Answer: GCF of Numerators as per given numbers 132/95, 8822/659 is
GCF of Numerators i.e. for 132,8822 is 22
LCM of denominators i.e. for 95,659 is 62605.
Thus, GCF of Fractions is 22/62605.Finally, GCF of Fractions for 132/95, 8822/659 is 22/62605.