Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 990/55,824/3156
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 990,824
Greatest Common Factor of Numerators i.e. GCF of 990,824 is 2 .
LCM of Denominators means LCM of 55,3156 as per the given fractions.
LCM of 55,3156 is 173580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 990,824
2 | 990, 824 |
495, 412 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 990,824 . The biggest common factor number is the GCF number.
So the greatest common factor 990,824 is 2.
Lets's calculate LCM of 55,3156
Given numbers has no common factors except 1. So, there LCM is their product i.e 173580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173580
Therefore, the GCF of Fractions 990/55,824/3156 is 2/173580
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 55,3156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,3156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,3156) x common factors =1 x 1 = 1
LCM(55,3156) = ( 55 × 3156 ) / 1
LCM(55,3156) = 173580 / 1
LCM(55,3156) = 173580
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 990/55, 824/3156?
Answer: GCF of Numerators as per given numbers 990/55, 824/3156 is
GCF of Numerators i.e. for 990,824 is 2
LCM of denominators i.e. for 55,3156 is 173580.
Thus, GCF of Fractions is 2/173580.Finally, GCF of Fractions for 990/55, 824/3156 is 2/173580.