Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9400/679,1603/2659
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 9400,1603
Greatest Common Factor of Numerators i.e. GCF of 9400,1603 is 1 .
LCM of Denominators means LCM of 679,2659 as per the given fractions.
LCM of 679,2659 is 1805461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9400,1603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9400
List of positive integer factors of 9400 that divides 9400 without a remainder.
1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Factors of 1603
List of positive integer factors of 1603 that divides 1603 without a remainder.
1,7,229,1603
Greatest Common Factor
We found the factors 9400,1603 . The biggest common factor number is the GCF number.
So the greatest common factor 9400,1603 is 1.
Lets's calculate LCM of 679,2659
Given numbers has no common factors except 1. So, there LCM is their product i.e 1805461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1805461
Therefore, the GCF of Fractions 9400/679,1603/2659 is 1/1805461
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 679,2659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,2659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,2659) x common factors =1 x 1 = 1
LCM(679,2659) = ( 679 × 2659 ) / 1
LCM(679,2659) = 1805461 / 1
LCM(679,2659) = 1805461
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 9400/679, 1603/2659?
Answer: GCF of Numerators as per given numbers 9400/679, 1603/2659 is
GCF of Numerators i.e. for 9400,1603 is 1
LCM of denominators i.e. for 679,2659 is 1805461.
Thus, GCF of Fractions is 1/1805461.Finally, GCF of Fractions for 9400/679, 1603/2659 is 1/1805461.