Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/2348,208/8402
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 937,208
Greatest Common Factor of Numerators i.e. GCF of 937,208 is 1 .
LCM of Denominators means LCM of 2348,8402 as per the given fractions.
LCM of 2348,8402 is 9863948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 937,208
∴ 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 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 937,208 . The biggest common factor number is the GCF number.
So the greatest common factor 937,208 is 1.
Lets's calculate LCM of 2348,8402
2 | 2348, 8402 |
1174, 4201 |
∴ So the LCM of the given numbers is 2 x 1174 x 4201 = 9863948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9863948
Therefore, the GCF of Fractions 937/2348,208/8402 is 1/9863948
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 2348,8402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2348,8402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2348,8402) x common factors =2 x 1 = 2
LCM(2348,8402) = ( 2348 × 8402 ) / 2
LCM(2348,8402) = 19727896 / 2
LCM(2348,8402) = 9863948
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 937/2348, 208/8402?
Answer: GCF of Numerators as per given numbers 937/2348, 208/8402 is
GCF of Numerators i.e. for 937,208 is 1
LCM of denominators i.e. for 2348,8402 is 9863948.
Thus, GCF of Fractions is 1/9863948.Finally, GCF of Fractions for 937/2348, 208/8402 is 1/9863948.