Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 880/775,1947/522
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 880,1947
Greatest Common Factor of Numerators i.e. GCF of 880,1947 is 11 .
LCM of Denominators means LCM of 775,522 as per the given fractions.
LCM of 775,522 is 404550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 880,1947
11 | 880, 1947 |
80, 177 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 1947
List of positive integer factors of 1947 that divides 1947 without a remainder.
1,3,11,33,59,177,649,1947
Greatest Common Factor
We found the factors 880,1947 . The biggest common factor number is the GCF number.
So the greatest common factor 880,1947 is 11.
Lets's calculate LCM of 775,522
Given numbers has no common factors except 1. So, there LCM is their product i.e 404550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/404550
Therefore, the GCF of Fractions 880/775,1947/522 is 11/404550
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 775,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,522) x common factors =1 x 1 = 1
LCM(775,522) = ( 775 × 522 ) / 1
LCM(775,522) = 404550 / 1
LCM(775,522) = 404550
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 880/775, 1947/522?
Answer: GCF of Numerators as per given numbers 880/775, 1947/522 is
GCF of Numerators i.e. for 880,1947 is 11
LCM of denominators i.e. for 775,522 is 404550.
Thus, GCF of Fractions is 11/404550.Finally, GCF of Fractions for 880/775, 1947/522 is 11/404550.