Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9650/845,3455/2533
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 9650,3455
Greatest Common Factor of Numerators i.e. GCF of 9650,3455 is 5 .
LCM of Denominators means LCM of 845,2533 as per the given fractions.
LCM of 845,2533 is 2140385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9650,3455
5 | 9650, 3455 |
1930, 691 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9650
List of positive integer factors of 9650 that divides 9650 without a remainder.
1,2,5,10,25,50,193,386,965,1930,4825,9650
Factors of 3455
List of positive integer factors of 3455 that divides 3455 without a remainder.
1,5,691,3455
Greatest Common Factor
We found the factors 9650,3455 . The biggest common factor number is the GCF number.
So the greatest common factor 9650,3455 is 5.
Lets's calculate LCM of 845,2533
Given numbers has no common factors except 1. So, there LCM is their product i.e 2140385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2140385
Therefore, the GCF of Fractions 9650/845,3455/2533 is 5/2140385
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 845,2533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,2533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,2533) x common factors =1 x 1 = 1
LCM(845,2533) = ( 845 × 2533 ) / 1
LCM(845,2533) = 2140385 / 1
LCM(845,2533) = 2140385
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 9650/845, 3455/2533?
Answer: GCF of Numerators as per given numbers 9650/845, 3455/2533 is
GCF of Numerators i.e. for 9650,3455 is 5
LCM of denominators i.e. for 845,2533 is 2140385.
Thus, GCF of Fractions is 5/2140385.Finally, GCF of Fractions for 9650/845, 3455/2533 is 5/2140385.