Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 262/538,4082/826
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 262,4082
Greatest Common Factor of Numerators i.e. GCF of 262,4082 is 2 .
LCM of Denominators means LCM of 538,826 as per the given fractions.
LCM of 538,826 is 222194 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 262,4082
2 | 262, 4082 |
131, 2041 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 4082
List of positive integer factors of 4082 that divides 4082 without a remainder.
1,2,13,26,157,314,2041,4082
Greatest Common Factor
We found the factors 262,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 262,4082 is 2.
Lets's calculate LCM of 538,826
2 | 538, 826 |
269, 413 |
∴ So the LCM of the given numbers is 2 x 269 x 413 = 222194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/222194
Therefore, the GCF of Fractions 262/538,4082/826 is 2/222194
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 538,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,826) x common factors =2 x 1 = 2
LCM(538,826) = ( 538 × 826 ) / 2
LCM(538,826) = 444388 / 2
LCM(538,826) = 222194
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 262/538, 4082/826?
Answer: GCF of Numerators as per given numbers 262/538, 4082/826 is
GCF of Numerators i.e. for 262,4082 is 2
LCM of denominators i.e. for 538,826 is 222194.
Thus, GCF of Fractions is 2/222194.Finally, GCF of Fractions for 262/538, 4082/826 is 2/222194.