Use our free GCF of Fractions Calculator tool to compute the GCF of 412/434, 262/741 i.e 2/321594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 412/434, 262/741.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 412/434,262/741
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 412/434,262/741, numerators are 412,262
Denominators are 434,741
The GCF of 412,262 is 2 .
LCM of 434,741 is 321594.
The greatest common factor of 412/434,262/741 = [GCF of 412,262]/[LCM of 434,741]= 2/321594
Therefore, the GCF of 412/434,262/741 is 2/321594.
To find the highest common factor of 412,262, we have to find the factors of both numbers and list the highest common factor.
The factors of 412 are 1, 2, 4, 103, 206, 412
The factors of 262 are 1, 2, 131, 262
The HCF of 412,262 is 2.
Lets's calculate GCF of 412,262
2 | 412, 262 |
206, 131 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 412
:1,2,4,103,206,412
Now, list down the factors of 262
:1,2,131,262
Greatest Common Factor
We found the factors 412,262 . The biggest common factor number is the GCF number.
So the greatest common factor 412,262 is 2.
Lets's calculate LCM of 434,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 321594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321594
Therefore, the GCF of Fractions 412/434,262/741 is 2/321594
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 434,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,741) x common factors =1 x 1 = 1
LCM(434,741) = ( 434 × 741 ) / 1
LCM(434,741) = 321594 / 1
LCM(434,741) = 321594
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 412,262?
The HCF of 412,262 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 412/434, 262/741?
Answer: GCF of Numerators as per given numbers 412/434, 262/741 is
GCF of Numerators i.e. for 412,262 is 2
LCM of denominators i.e. for 434,741 is 321594.
Thus, GCF of Fractions is 2/321594.Finally, GCF of Fractions for 412/434, 262/741 is 2/321594.