Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9835/181,3157/8127
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 9835,3157
Greatest Common Factor of Numerators i.e. GCF of 9835,3157 is 7 .
LCM of Denominators means LCM of 181,8127 as per the given fractions.
LCM of 181,8127 is 1470987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9835,3157
7 | 9835, 3157 |
1405, 451 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 9835
List of positive integer factors of 9835 that divides 9835 without a remainder.
1,5,7,35,281,1405,1967,9835
Factors of 3157
List of positive integer factors of 3157 that divides 3157 without a remainder.
1,7,11,41,77,287,451,3157
Greatest Common Factor
We found the factors 9835,3157 . The biggest common factor number is the GCF number.
So the greatest common factor 9835,3157 is 7.
Lets's calculate LCM of 181,8127
Given numbers has no common factors except 1. So, there LCM is their product i.e 1470987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1470987
Therefore, the GCF of Fractions 9835/181,3157/8127 is 7/1470987
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 181,8127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,8127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,8127) x common factors =1 x 1 = 1
LCM(181,8127) = ( 181 × 8127 ) / 1
LCM(181,8127) = 1470987 / 1
LCM(181,8127) = 1470987
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 9835/181, 3157/8127?
Answer: GCF of Numerators as per given numbers 9835/181, 3157/8127 is
GCF of Numerators i.e. for 9835,3157 is 7
LCM of denominators i.e. for 181,8127 is 1470987.
Thus, GCF of Fractions is 7/1470987.Finally, GCF of Fractions for 9835/181, 3157/8127 is 7/1470987.