Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 685/622,1724/9006
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 685,1724
Greatest Common Factor of Numerators i.e. GCF of 685,1724 is 1 .
LCM of Denominators means LCM of 622,9006 as per the given fractions.
LCM of 622,9006 is 2800866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 685,1724
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 1724
List of positive integer factors of 1724 that divides 1724 without a remainder.
1,2,4,431,862,1724
Greatest Common Factor
We found the factors 685,1724 . The biggest common factor number is the GCF number.
So the greatest common factor 685,1724 is 1.
Lets's calculate LCM of 622,9006
2 | 622, 9006 |
311, 4503 |
∴ So the LCM of the given numbers is 2 x 311 x 4503 = 2800866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2800866
Therefore, the GCF of Fractions 685/622,1724/9006 is 1/2800866
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 622,9006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,9006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,9006) x common factors =2 x 1 = 2
LCM(622,9006) = ( 622 × 9006 ) / 2
LCM(622,9006) = 5601732 / 2
LCM(622,9006) = 2800866
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 685/622, 1724/9006?
Answer: GCF of Numerators as per given numbers 685/622, 1724/9006 is
GCF of Numerators i.e. for 685,1724 is 1
LCM of denominators i.e. for 622,9006 is 2800866.
Thus, GCF of Fractions is 1/2800866.Finally, GCF of Fractions for 685/622, 1724/9006 is 1/2800866.