GCF of 558/561, 657/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 558/561, 657/267 i.e 9/49929 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/561, 657/267.
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 558/561,657/267?
Given fractions are 558/561,657/267
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 558/561,657/267, numerators are 558,657
Denominators are 561,267
The GCF of 558,657 is 9 .
LCM of 561,267 is 49929.
The greatest common factor of 558/561,657/267 = [GCF of 558,657]/[LCM of 561,267]= 9/49929
Therefore, the GCF of 558/561,657/267 is 9/49929.
To find the highest common factor of 558,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 558,657 is 9.
Lets's calculate GCF of 558,657
| 3 | 558, 657 |
| 3 | 186, 219 |
| 62, 73 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 558,657 By Matching Biggest Common Factor Method
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 558,657 . The biggest common factor number is the GCF number.
So the greatest common factor 558,657 is 9.
Lets's calculate LCM of 561,267
| 3 | 561, 267 |
| 187, 89 |
∴ So the LCM of the given numbers is 3 x 187 x 89 = 49929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/49929
Therefore, the GCF of Fractions 558/561,657/267 is 9/49929
Least Common Multiple of 561,267 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 561,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,267) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,267) x common factors =3 x 1 = 3
LCM(561,267) = ( 561 × 267 ) / 3
LCM(561,267) = 149787 / 3
LCM(561,267) = 49929
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FAQs on GCF of Fractions of 558/561, 657/267
1. What is the HCF of 558,657?
The HCF of 558,657 is 9
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 558/561, 657/267?
Answer: GCF of Numerators as per given numbers 558/561, 657/267 is
GCF of Numerators i.e. for 558,657 is 9
LCM of denominators i.e. for 561,267 is 49929.
Thus, GCF of Fractions is 9/49929.Finally, GCF of Fractions for 558/561, 657/267 is 9/49929.