GCF of 3589/584, 2504/5110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3589/584, 2504/5110 i.e 1/20440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3589/584, 2504/5110.
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 3589/584,2504/5110?
Given fractions are 3589/584,2504/5110
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 3589/584,2504/5110, numerators are 3589,2504
Denominators are 584,5110
The GCF of 3589,2504 is 1 .
LCM of 584,5110 is 20440.
The greatest common factor of 3589/584,2504/5110 = [GCF of 3589,2504]/[LCM of 584,5110]= 1/20440
Therefore, the GCF of 3589/584,2504/5110 is 1/20440.
To find the highest common factor of 3589,2504, we have to find the factors of both numbers and list the highest common factor.
The factors of 3589 are 1, 37, 97, 3589
The factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504
The HCF of 3589,2504 is 1.
Lets's calculate GCF of 3589,2504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3589,2504 By Matching Biggest Common Factor Method
Now, list down the factors of 3589
:1,37,97,3589
Now, list down the factors of 2504
:1,2,4,8,313,626,1252,2504
Greatest Common Factor
We found the factors 3589,2504 . The biggest common factor number is the GCF number.
So the greatest common factor 3589,2504 is 1.
Lets's calculate LCM of 584,5110
| 2 | 584, 5110 |
| 73 | 292, 2555 |
| 4, 35 |
∴ So the LCM of the given numbers is 2 x 73 x 4 x 35 = 20440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20440
Therefore, the GCF of Fractions 3589/584,2504/5110 is 1/20440
Least Common Multiple of 584,5110 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 584,5110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,5110) = 146
common factors(in case of two or more numbers have common factors) = 1
GCF(584,5110) x common factors =146 x 1 = 146
LCM(584,5110) = ( 584 × 5110 ) / 146
LCM(584,5110) = 2984240 / 146
LCM(584,5110) = 20440
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FAQs on GCF of Fractions of 3589/584, 2504/5110
1. What is the HCF of 3589,2504?
The HCF of 3589,2504 is 1
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 3589/584, 2504/5110?
Answer: GCF of Numerators as per given numbers 3589/584, 2504/5110 is
GCF of Numerators i.e. for 3589,2504 is 1
LCM of denominators i.e. for 584,5110 is 20440.
Thus, GCF of Fractions is 1/20440.Finally, GCF of Fractions for 3589/584, 2504/5110 is 1/20440.