Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 880/592,8377/1887
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 880,8377
Greatest Common Factor of Numerators i.e. GCF of 880,8377 is 1 .
LCM of Denominators means LCM of 592,1887 as per the given fractions.
LCM of 592,1887 is 30192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 880,8377
∴ So GCF of numbers is 1 because of no common factors present between them.
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 8377
List of positive integer factors of 8377 that divides 8377 without a remainder.
1,8377
Greatest Common Factor
We found the factors 880,8377 . The biggest common factor number is the GCF number.
So the greatest common factor 880,8377 is 1.
Lets's calculate LCM of 592,1887
37 | 592, 1887 |
16, 51 |
∴ So the LCM of the given numbers is 37 x 16 x 51 = 30192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30192
Therefore, the GCF of Fractions 880/592,8377/1887 is 1/30192
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 592,1887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,1887) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(592,1887) x common factors =37 x 1 = 37
LCM(592,1887) = ( 592 × 1887 ) / 37
LCM(592,1887) = 1117104 / 37
LCM(592,1887) = 30192
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 880/592, 8377/1887?
Answer: GCF of Numerators as per given numbers 880/592, 8377/1887 is
GCF of Numerators i.e. for 880,8377 is 1
LCM of denominators i.e. for 592,1887 is 30192.
Thus, GCF of Fractions is 1/30192.Finally, GCF of Fractions for 880/592, 8377/1887 is 1/30192.