Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 885/97,618/1041
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 885,618
Greatest Common Factor of Numerators i.e. GCF of 885,618 is 3 .
LCM of Denominators means LCM of 97,1041 as per the given fractions.
LCM of 97,1041 is 100977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 885,618
3 | 885, 618 |
295, 206 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 885,618 . The biggest common factor number is the GCF number.
So the greatest common factor 885,618 is 3.
Lets's calculate LCM of 97,1041
Given numbers has no common factors except 1. So, there LCM is their product i.e 100977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/100977
Therefore, the GCF of Fractions 885/97,618/1041 is 3/100977
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 97,1041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,1041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,1041) x common factors =1 x 1 = 1
LCM(97,1041) = ( 97 × 1041 ) / 1
LCM(97,1041) = 100977 / 1
LCM(97,1041) = 100977
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 885/97, 618/1041?
Answer: GCF of Numerators as per given numbers 885/97, 618/1041 is
GCF of Numerators i.e. for 885,618 is 3
LCM of denominators i.e. for 97,1041 is 100977.
Thus, GCF of Fractions is 3/100977.Finally, GCF of Fractions for 885/97, 618/1041 is 3/100977.