Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7937/164,8390/285
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 7937,8390
Greatest Common Factor of Numerators i.e. GCF of 7937,8390 is 1 .
LCM of Denominators means LCM of 164,285 as per the given fractions.
LCM of 164,285 is 46740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7937,8390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7937
List of positive integer factors of 7937 that divides 7937 without a remainder.
1,7937
Factors of 8390
List of positive integer factors of 8390 that divides 8390 without a remainder.
1,2,5,10,839,1678,4195,8390
Greatest Common Factor
We found the factors 7937,8390 . The biggest common factor number is the GCF number.
So the greatest common factor 7937,8390 is 1.
Lets's calculate LCM of 164,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 46740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46740
Therefore, the GCF of Fractions 7937/164,8390/285 is 1/46740
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 164,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,285) x common factors =1 x 1 = 1
LCM(164,285) = ( 164 × 285 ) / 1
LCM(164,285) = 46740 / 1
LCM(164,285) = 46740
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 7937/164, 8390/285?
Answer: GCF of Numerators as per given numbers 7937/164, 8390/285 is
GCF of Numerators i.e. for 7937,8390 is 1
LCM of denominators i.e. for 164,285 is 46740.
Thus, GCF of Fractions is 1/46740.Finally, GCF of Fractions for 7937/164, 8390/285 is 1/46740.