Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 694/1641,230/1135
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 694,230
Greatest Common Factor of Numerators i.e. GCF of 694,230 is 2 .
LCM of Denominators means LCM of 1641,1135 as per the given fractions.
LCM of 1641,1135 is 1862535 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 694,230
2 | 694, 230 |
347, 115 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 694,230 . The biggest common factor number is the GCF number.
So the greatest common factor 694,230 is 2.
Lets's calculate LCM of 1641,1135
Given numbers has no common factors except 1. So, there LCM is their product i.e 1862535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1862535
Therefore, the GCF of Fractions 694/1641,230/1135 is 2/1862535
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 1641,1135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1641,1135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1641,1135) x common factors =1 x 1 = 1
LCM(1641,1135) = ( 1641 × 1135 ) / 1
LCM(1641,1135) = 1862535 / 1
LCM(1641,1135) = 1862535
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 694/1641, 230/1135?
Answer: GCF of Numerators as per given numbers 694/1641, 230/1135 is
GCF of Numerators i.e. for 694,230 is 2
LCM of denominators i.e. for 1641,1135 is 1862535.
Thus, GCF of Fractions is 2/1862535.Finally, GCF of Fractions for 694/1641, 230/1135 is 2/1862535.