Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7071/531,9171/995
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 7071,9171
Greatest Common Factor of Numerators i.e. GCF of 7071,9171 is 3 .
LCM of Denominators means LCM of 531,995 as per the given fractions.
LCM of 531,995 is 528345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7071,9171
3 | 7071, 9171 |
2357, 3057 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7071
List of positive integer factors of 7071 that divides 7071 without a remainder.
1,3,2357,7071
Factors of 9171
List of positive integer factors of 9171 that divides 9171 without a remainder.
1,3,9,1019,3057,9171
Greatest Common Factor
We found the factors 7071,9171 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,9171 is 3.
Lets's calculate LCM of 531,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 528345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/528345
Therefore, the GCF of Fractions 7071/531,9171/995 is 3/528345
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 531,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,995) x common factors =1 x 1 = 1
LCM(531,995) = ( 531 × 995 ) / 1
LCM(531,995) = 528345 / 1
LCM(531,995) = 528345
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 7071/531, 9171/995?
Answer: GCF of Numerators as per given numbers 7071/531, 9171/995 is
GCF of Numerators i.e. for 7071,9171 is 3
LCM of denominators i.e. for 531,995 is 528345.
Thus, GCF of Fractions is 3/528345.Finally, GCF of Fractions for 7071/531, 9171/995 is 3/528345.