Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/66,495/8815
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 996,495
Greatest Common Factor of Numerators i.e. GCF of 996,495 is 3 .
LCM of Denominators means LCM of 66,8815 as per the given fractions.
LCM of 66,8815 is 581790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 996,495
3 | 996, 495 |
332, 165 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 996,495 . The biggest common factor number is the GCF number.
So the greatest common factor 996,495 is 3.
Lets's calculate LCM of 66,8815
Given numbers has no common factors except 1. So, there LCM is their product i.e 581790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/581790
Therefore, the GCF of Fractions 996/66,495/8815 is 3/581790
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 66,8815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,8815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,8815) x common factors =1 x 1 = 1
LCM(66,8815) = ( 66 × 8815 ) / 1
LCM(66,8815) = 581790 / 1
LCM(66,8815) = 581790
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 996/66, 495/8815?
Answer: GCF of Numerators as per given numbers 996/66, 495/8815 is
GCF of Numerators i.e. for 996,495 is 3
LCM of denominators i.e. for 66,8815 is 581790.
Thus, GCF of Fractions is 3/581790.Finally, GCF of Fractions for 996/66, 495/8815 is 3/581790.