Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/271,642/402
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 82,642
Greatest Common Factor of Numerators i.e. GCF of 82,642 is 2 .
LCM of Denominators means LCM of 271,402 as per the given fractions.
LCM of 271,402 is 108942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,642
2 | 82, 642 |
41, 321 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 82,642 . The biggest common factor number is the GCF number.
So the greatest common factor 82,642 is 2.
Lets's calculate LCM of 271,402
Given numbers has no common factors except 1. So, there LCM is their product i.e 108942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108942
Therefore, the GCF of Fractions 82/271,642/402 is 2/108942
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 271,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,402) x common factors =1 x 1 = 1
LCM(271,402) = ( 271 × 402 ) / 1
LCM(271,402) = 108942 / 1
LCM(271,402) = 108942
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 82/271, 642/402?
Answer: GCF of Numerators as per given numbers 82/271, 642/402 is
GCF of Numerators i.e. for 82,642 is 2
LCM of denominators i.e. for 271,402 is 108942.
Thus, GCF of Fractions is 2/108942.Finally, GCF of Fractions for 82/271, 642/402 is 2/108942.