Use our free GCF of Fractions Calculator tool to compute the GCF of 269/494, 526/656 i.e 1/162032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 269/494, 526/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 269/494,526/656
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 269/494,526/656, numerators are 269,526
Denominators are 494,656
The GCF of 269,526 is 1 .
LCM of 494,656 is 162032.
The greatest common factor of 269/494,526/656 = [GCF of 269,526]/[LCM of 494,656]= 1/162032
Therefore, the GCF of 269/494,526/656 is 1/162032.
To find the highest common factor of 269,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 269 are 1, 269
The factors of 526 are 1, 2, 263, 526
The HCF of 269,526 is 1.
Lets's calculate GCF of 269,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 269
:1,269
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 269,526 . The biggest common factor number is the GCF number.
So the greatest common factor 269,526 is 1.
Lets's calculate LCM of 494,656
2 | 494, 656 |
247, 328 |
∴ So the LCM of the given numbers is 2 x 247 x 328 = 162032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162032
Therefore, the GCF of Fractions 269/494,526/656 is 1/162032
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 494,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,656) x common factors =2 x 1 = 2
LCM(494,656) = ( 494 × 656 ) / 2
LCM(494,656) = 324064 / 2
LCM(494,656) = 162032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 269,526?
The HCF of 269,526 is 1
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 269/494, 526/656?
Answer: GCF of Numerators as per given numbers 269/494, 526/656 is
GCF of Numerators i.e. for 269,526 is 1
LCM of denominators i.e. for 494,656 is 162032.
Thus, GCF of Fractions is 1/162032.Finally, GCF of Fractions for 269/494, 526/656 is 1/162032.