Use our free GCF of Fractions Calculator tool to compute the GCF of 922/536, 260/559 i.e 2/299624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/536, 260/559.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/536,260/559
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 922/536,260/559, numerators are 922,260
Denominators are 536,559
The GCF of 922,260 is 2 .
LCM of 536,559 is 299624.
The greatest common factor of 922/536,260/559 = [GCF of 922,260]/[LCM of 536,559]= 2/299624
Therefore, the GCF of 922/536,260/559 is 2/299624.
To find the highest common factor of 922,260, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The HCF of 922,260 is 2.
Lets's calculate GCF of 922,260
2 | 922, 260 |
461, 130 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 922,260 . The biggest common factor number is the GCF number.
So the greatest common factor 922,260 is 2.
Lets's calculate LCM of 536,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 299624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/299624
Therefore, the GCF of Fractions 922/536,260/559 is 2/299624
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 536,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,559) x common factors =1 x 1 = 1
LCM(536,559) = ( 536 × 559 ) / 1
LCM(536,559) = 299624 / 1
LCM(536,559) = 299624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 922,260?
The HCF of 922,260 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 922/536, 260/559?
Answer: GCF of Numerators as per given numbers 922/536, 260/559 is
GCF of Numerators i.e. for 922,260 is 2
LCM of denominators i.e. for 536,559 is 299624.
Thus, GCF of Fractions is 2/299624.Finally, GCF of Fractions for 922/536, 260/559 is 2/299624.