GCF of 3664/588, 9590/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3664/588, 9590/362 i.e 2/106428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3664/588, 9590/362.
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 3664/588,9590/362?
Given fractions are 3664/588,9590/362
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 3664/588,9590/362, numerators are 3664,9590
Denominators are 588,362
The GCF of 3664,9590 is 2 .
LCM of 588,362 is 106428.
The greatest common factor of 3664/588,9590/362 = [GCF of 3664,9590]/[LCM of 588,362]= 2/106428
Therefore, the GCF of 3664/588,9590/362 is 2/106428.
To find the highest common factor of 3664,9590, we have to find the factors of both numbers and list the highest common factor.
The factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664
The factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
The HCF of 3664,9590 is 2.
Lets's calculate GCF of 3664,9590
| 2 | 3664, 9590 |
| 1832, 4795 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3664,9590 By Matching Biggest Common Factor Method
Now, list down the factors of 3664
:1,2,4,8,16,229,458,916,1832,3664
Now, list down the factors of 9590
:1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 3664,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 3664,9590 is 2.
Lets's calculate LCM of 588,362
| 2 | 588, 362 |
| 294, 181 |
∴ So the LCM of the given numbers is 2 x 294 x 181 = 106428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106428
Therefore, the GCF of Fractions 3664/588,9590/362 is 2/106428
Least Common Multiple of 588,362 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 588,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(588,362) x common factors =2 x 1 = 2
LCM(588,362) = ( 588 × 362 ) / 2
LCM(588,362) = 212856 / 2
LCM(588,362) = 106428
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FAQs on GCF of Fractions of 3664/588, 9590/362
1. What is the HCF of 3664,9590?
The HCF of 3664,9590 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 3664/588, 9590/362?
Answer: GCF of Numerators as per given numbers 3664/588, 9590/362 is
GCF of Numerators i.e. for 3664,9590 is 2
LCM of denominators i.e. for 588,362 is 106428.
Thus, GCF of Fractions is 2/106428.Finally, GCF of Fractions for 3664/588, 9590/362 is 2/106428.