Use our free GCF of Fractions Calculator tool to compute the GCF of 252/269, 830/561 i.e 2/150909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/269, 830/561.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/269,830/561
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 252/269,830/561, numerators are 252,830
Denominators are 269,561
The GCF of 252,830 is 2 .
LCM of 269,561 is 150909.
The greatest common factor of 252/269,830/561 = [GCF of 252,830]/[LCM of 269,561]= 2/150909
Therefore, the GCF of 252/269,830/561 is 2/150909.
To find the highest common factor of 252,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 252,830 is 2.
Lets's calculate GCF of 252,830
2 | 252, 830 |
126, 415 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 252,830 . The biggest common factor number is the GCF number.
So the greatest common factor 252,830 is 2.
Lets's calculate LCM of 269,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 150909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150909
Therefore, the GCF of Fractions 252/269,830/561 is 2/150909
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 269,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,561) x common factors =1 x 1 = 1
LCM(269,561) = ( 269 × 561 ) / 1
LCM(269,561) = 150909 / 1
LCM(269,561) = 150909
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 252,830?
The HCF of 252,830 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 252/269, 830/561?
Answer: GCF of Numerators as per given numbers 252/269, 830/561 is
GCF of Numerators i.e. for 252,830 is 2
LCM of denominators i.e. for 269,561 is 150909.
Thus, GCF of Fractions is 2/150909.Finally, GCF of Fractions for 252/269, 830/561 is 2/150909.