GCF of 597/309, 468/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 597/309, 468/456 i.e 3/46968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/309, 468/456.
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 597/309,468/456?
Given fractions are 597/309,468/456
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 597/309,468/456, numerators are 597,468
Denominators are 309,456
The GCF of 597,468 is 3 .
LCM of 309,456 is 46968.
The greatest common factor of 597/309,468/456 = [GCF of 597,468]/[LCM of 309,456]= 3/46968
Therefore, the GCF of 597/309,468/456 is 3/46968.
To find the highest common factor of 597,468, we have to find the factors of both numbers and list the highest common factor.
The factors of 597 are 1, 3, 199, 597
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 597,468 is 3.
Lets's calculate GCF of 597,468
| 3 | 597, 468 |
| 199, 156 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 597,468 By Matching Biggest Common Factor Method
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 597,468 . The biggest common factor number is the GCF number.
So the greatest common factor 597,468 is 3.
Lets's calculate LCM of 309,456
| 3 | 309, 456 |
| 103, 152 |
∴ So the LCM of the given numbers is 3 x 103 x 152 = 46968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46968
Therefore, the GCF of Fractions 597/309,468/456 is 3/46968
Least Common Multiple of 309,456 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 309,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,456) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,456) x common factors =3 x 1 = 3
LCM(309,456) = ( 309 × 456 ) / 3
LCM(309,456) = 140904 / 3
LCM(309,456) = 46968
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FAQs on GCF of Fractions of 597/309, 468/456
1. What is the HCF of 597,468?
The HCF of 597,468 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 597/309, 468/456?
Answer: GCF of Numerators as per given numbers 597/309, 468/456 is
GCF of Numerators i.e. for 597,468 is 3
LCM of denominators i.e. for 309,456 is 46968.
Thus, GCF of Fractions is 3/46968.Finally, GCF of Fractions for 597/309, 468/456 is 3/46968.