GCF of 590/287, 318/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/287, 318/644 i.e 2/26404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/287, 318/644.
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 590/287,318/644?
Given fractions are 590/287,318/644
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 590/287,318/644, numerators are 590,318
Denominators are 287,644
The GCF of 590,318 is 2 .
LCM of 287,644 is 26404.
The greatest common factor of 590/287,318/644 = [GCF of 590,318]/[LCM of 287,644]= 2/26404
Therefore, the GCF of 590/287,318/644 is 2/26404.
To find the highest common factor of 590,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 590,318 is 2.
Lets's calculate GCF of 590,318
| 2 | 590, 318 |
| 295, 159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 590,318 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 590,318 . The biggest common factor number is the GCF number.
So the greatest common factor 590,318 is 2.
Lets's calculate LCM of 287,644
| 7 | 287, 644 |
| 41, 92 |
∴ So the LCM of the given numbers is 7 x 41 x 92 = 26404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26404
Therefore, the GCF of Fractions 590/287,318/644 is 2/26404
Least Common Multiple of 287,644 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 287,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,644) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(287,644) x common factors =7 x 1 = 7
LCM(287,644) = ( 287 × 644 ) / 7
LCM(287,644) = 184828 / 7
LCM(287,644) = 26404
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FAQs on GCF of Fractions of 590/287, 318/644
1. What is the HCF of 590,318?
The HCF of 590,318 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 590/287, 318/644?
Answer: GCF of Numerators as per given numbers 590/287, 318/644 is
GCF of Numerators i.e. for 590,318 is 2
LCM of denominators i.e. for 287,644 is 26404.
Thus, GCF of Fractions is 2/26404.Finally, GCF of Fractions for 590/287, 318/644 is 2/26404.