Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/219,5792/957
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 937,5792
Greatest Common Factor of Numerators i.e. GCF of 937,5792 is 1 .
LCM of Denominators means LCM of 219,957 as per the given fractions.
LCM of 219,957 is 69861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 937,5792
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 5792
List of positive integer factors of 5792 that divides 5792 without a remainder.
1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 937,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 937,5792 is 1.
Lets's calculate LCM of 219,957
3 | 219, 957 |
73, 319 |
∴ So the LCM of the given numbers is 3 x 73 x 319 = 69861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69861
Therefore, the GCF of Fractions 937/219,5792/957 is 1/69861
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 219,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,957) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,957) x common factors =3 x 1 = 3
LCM(219,957) = ( 219 × 957 ) / 3
LCM(219,957) = 209583 / 3
LCM(219,957) = 69861
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 937/219, 5792/957?
Answer: GCF of Numerators as per given numbers 937/219, 5792/957 is
GCF of Numerators i.e. for 937,5792 is 1
LCM of denominators i.e. for 219,957 is 69861.
Thus, GCF of Fractions is 1/69861.Finally, GCF of Fractions for 937/219, 5792/957 is 1/69861.