Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9283/95,8392/558
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 9283,8392
Greatest Common Factor of Numerators i.e. GCF of 9283,8392 is 1 .
LCM of Denominators means LCM of 95,558 as per the given fractions.
LCM of 95,558 is 53010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9283,8392
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9283
List of positive integer factors of 9283 that divides 9283 without a remainder.
1,9283
Factors of 8392
List of positive integer factors of 8392 that divides 8392 without a remainder.
1,2,4,8,1049,2098,4196,8392
Greatest Common Factor
We found the factors 9283,8392 . The biggest common factor number is the GCF number.
So the greatest common factor 9283,8392 is 1.
Lets's calculate LCM of 95,558
Given numbers has no common factors except 1. So, there LCM is their product i.e 53010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53010
Therefore, the GCF of Fractions 9283/95,8392/558 is 1/53010
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 95,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,558) x common factors =1 x 1 = 1
LCM(95,558) = ( 95 × 558 ) / 1
LCM(95,558) = 53010 / 1
LCM(95,558) = 53010
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 9283/95, 8392/558?
Answer: GCF of Numerators as per given numbers 9283/95, 8392/558 is
GCF of Numerators i.e. for 9283,8392 is 1
LCM of denominators i.e. for 95,558 is 53010.
Thus, GCF of Fractions is 1/53010.Finally, GCF of Fractions for 9283/95, 8392/558 is 1/53010.