Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8469/623,1700/2288
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 8469,1700
Greatest Common Factor of Numerators i.e. GCF of 8469,1700 is 1 .
LCM of Denominators means LCM of 623,2288 as per the given fractions.
LCM of 623,2288 is 1425424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8469,1700
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8469
List of positive integer factors of 8469 that divides 8469 without a remainder.
1,3,9,941,2823,8469
Factors of 1700
List of positive integer factors of 1700 that divides 1700 without a remainder.
1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700
Greatest Common Factor
We found the factors 8469,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 8469,1700 is 1.
Lets's calculate LCM of 623,2288
Given numbers has no common factors except 1. So, there LCM is their product i.e 1425424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1425424
Therefore, the GCF of Fractions 8469/623,1700/2288 is 1/1425424
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 623,2288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,2288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,2288) x common factors =1 x 1 = 1
LCM(623,2288) = ( 623 × 2288 ) / 1
LCM(623,2288) = 1425424 / 1
LCM(623,2288) = 1425424
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 8469/623, 1700/2288?
Answer: GCF of Numerators as per given numbers 8469/623, 1700/2288 is
GCF of Numerators i.e. for 8469,1700 is 1
LCM of denominators i.e. for 623,2288 is 1425424.
Thus, GCF of Fractions is 1/1425424.Finally, GCF of Fractions for 8469/623, 1700/2288 is 1/1425424.