Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2932/917,1626/9141
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 2932,1626
Greatest Common Factor of Numerators i.e. GCF of 2932,1626 is 2 .
LCM of Denominators means LCM of 917,9141 as per the given fractions.
LCM of 917,9141 is 8382297 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2932,1626
2 | 2932, 1626 |
1466, 813 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2932
List of positive integer factors of 2932 that divides 2932 without a remainder.
1,2,4,733,1466,2932
Factors of 1626
List of positive integer factors of 1626 that divides 1626 without a remainder.
1,2,3,6,271,542,813,1626
Greatest Common Factor
We found the factors 2932,1626 . The biggest common factor number is the GCF number.
So the greatest common factor 2932,1626 is 2.
Lets's calculate LCM of 917,9141
Given numbers has no common factors except 1. So, there LCM is their product i.e 8382297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8382297
Therefore, the GCF of Fractions 2932/917,1626/9141 is 2/8382297
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 917,9141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,9141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,9141) x common factors =1 x 1 = 1
LCM(917,9141) = ( 917 × 9141 ) / 1
LCM(917,9141) = 8382297 / 1
LCM(917,9141) = 8382297
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 2932/917, 1626/9141?
Answer: GCF of Numerators as per given numbers 2932/917, 1626/9141 is
GCF of Numerators i.e. for 2932,1626 is 2
LCM of denominators i.e. for 917,9141 is 8382297.
Thus, GCF of Fractions is 2/8382297.Finally, GCF of Fractions for 2932/917, 1626/9141 is 2/8382297.