GCF of 564/78, 329/4866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 564/78, 329/4866 i.e 47/63258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/78, 329/4866.
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 564/78,329/4866?
Given fractions are 564/78,329/4866
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 564/78,329/4866, numerators are 564,329
Denominators are 78,4866
The GCF of 564,329 is 47 .
LCM of 78,4866 is 63258.
The greatest common factor of 564/78,329/4866 = [GCF of 564,329]/[LCM of 78,4866]= 47/63258
Therefore, the GCF of 564/78,329/4866 is 47/63258.
To find the highest common factor of 564,329, we have to find the factors of both numbers and list the highest common factor.
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The factors of 329 are 1, 7, 47, 329
The HCF of 564,329 is 47.
Lets's calculate GCF of 564,329
| 47 | 564, 329 |
| 12, 7 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 564,329 By Matching Biggest Common Factor Method
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Now, list down the factors of 329
:1,7,47,329
Greatest Common Factor
We found the factors 564,329 . The biggest common factor number is the GCF number.
So the greatest common factor 564,329 is 47.
Lets's calculate LCM of 78,4866
| 2 | 78, 4866 |
| 3 | 39, 2433 |
| 13, 811 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 811 = 63258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/63258
Therefore, the GCF of Fractions 564/78,329/4866 is 47/63258
Least Common Multiple of 78,4866 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 78,4866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,4866) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,4866) x common factors =6 x 1 = 6
LCM(78,4866) = ( 78 × 4866 ) / 6
LCM(78,4866) = 379548 / 6
LCM(78,4866) = 63258
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FAQs on GCF of Fractions of 564/78, 329/4866
1. What is the HCF of 564,329?
The HCF of 564,329 is 47
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 564/78, 329/4866?
Answer: GCF of Numerators as per given numbers 564/78, 329/4866 is
GCF of Numerators i.e. for 564,329 is 47
LCM of denominators i.e. for 78,4866 is 63258.
Thus, GCF of Fractions is 47/63258.Finally, GCF of Fractions for 564/78, 329/4866 is 47/63258.