GCF of 522/266, 489/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 522/266, 489/222 i.e 3/29526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 522/266, 489/222.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 522/266,489/222?
Given fractions are 522/266,489/222
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 522/266,489/222, numerators are 522,489
Denominators are 266,222
The GCF of 522,489 is 3 .
LCM of 266,222 is 29526.
The greatest common factor of 522/266,489/222 = [GCF of 522,489]/[LCM of 266,222]= 3/29526
Therefore, the GCF of 522/266,489/222 is 3/29526.
To find the highest common factor of 522,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
The factors of 489 are 1, 3, 163, 489
The HCF of 522,489 is 3.
Lets's calculate GCF of 522,489
| 3 | 522, 489 |
| 174, 163 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 522,489 By Matching Biggest Common Factor Method
Now, list down the factors of 522
:1,2,3,6,9,18,29,58,87,174,261,522
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 522,489 . The biggest common factor number is the GCF number.
So the greatest common factor 522,489 is 3.
Lets's calculate LCM of 266,222
| 2 | 266, 222 |
| 133, 111 |
∴ So the LCM of the given numbers is 2 x 133 x 111 = 29526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29526
Therefore, the GCF of Fractions 522/266,489/222 is 3/29526
Least Common Multiple of 266,222 with GCF Formula
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 266,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,222) x common factors =2 x 1 = 2
LCM(266,222) = ( 266 × 222 ) / 2
LCM(266,222) = 59052 / 2
LCM(266,222) = 29526
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FAQs on GCF of Fractions of 522/266, 489/222
1. What is the HCF of 522,489?
The HCF of 522,489 is 3
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 522/266, 489/222?
Answer: GCF of Numerators as per given numbers 522/266, 489/222 is
GCF of Numerators i.e. for 522,489 is 3
LCM of denominators i.e. for 266,222 is 29526.
Thus, GCF of Fractions is 3/29526.Finally, GCF of Fractions for 522/266, 489/222 is 3/29526.