Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9848/661,8230/538
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 9848,8230
Greatest Common Factor of Numerators i.e. GCF of 9848,8230 is 2 .
LCM of Denominators means LCM of 661,538 as per the given fractions.
LCM of 661,538 is 355618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9848,8230
2 | 9848, 8230 |
4924, 4115 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9848
List of positive integer factors of 9848 that divides 9848 without a remainder.
1,2,4,8,1231,2462,4924,9848
Factors of 8230
List of positive integer factors of 8230 that divides 8230 without a remainder.
1,2,5,10,823,1646,4115,8230
Greatest Common Factor
We found the factors 9848,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 9848,8230 is 2.
Lets's calculate LCM of 661,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 355618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/355618
Therefore, the GCF of Fractions 9848/661,8230/538 is 2/355618
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 661,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,538) x common factors =1 x 1 = 1
LCM(661,538) = ( 661 × 538 ) / 1
LCM(661,538) = 355618 / 1
LCM(661,538) = 355618
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 9848/661, 8230/538?
Answer: GCF of Numerators as per given numbers 9848/661, 8230/538 is
GCF of Numerators i.e. for 9848,8230 is 2
LCM of denominators i.e. for 661,538 is 355618.
Thus, GCF of Fractions is 2/355618.Finally, GCF of Fractions for 9848/661, 8230/538 is 2/355618.