GCF of 3587/592, 8403/3880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3587/592, 8403/3880 i.e 1/287120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3587/592, 8403/3880.
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 3587/592,8403/3880?
Given fractions are 3587/592,8403/3880
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 3587/592,8403/3880, numerators are 3587,8403
Denominators are 592,3880
The GCF of 3587,8403 is 1 .
LCM of 592,3880 is 287120.
The greatest common factor of 3587/592,8403/3880 = [GCF of 3587,8403]/[LCM of 592,3880]= 1/287120
Therefore, the GCF of 3587/592,8403/3880 is 1/287120.
To find the highest common factor of 3587,8403, we have to find the factors of both numbers and list the highest common factor.
The factors of 3587 are 1, 17, 211, 3587
The factors of 8403 are 1, 3, 2801, 8403
The HCF of 3587,8403 is 1.
Lets's calculate GCF of 3587,8403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3587,8403 By Matching Biggest Common Factor Method
Now, list down the factors of 3587
:1,17,211,3587
Now, list down the factors of 8403
:1,3,2801,8403
Greatest Common Factor
We found the factors 3587,8403 . The biggest common factor number is the GCF number.
So the greatest common factor 3587,8403 is 1.
Lets's calculate LCM of 592,3880
| 2 | 592, 3880 |
| 2 | 296, 1940 |
| 2 | 148, 970 |
| 74, 485 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 74 x 485 = 287120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287120
Therefore, the GCF of Fractions 3587/592,8403/3880 is 1/287120
Least Common Multiple of 592,3880 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 592,3880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,3880) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(592,3880) x common factors =8 x 1 = 8
LCM(592,3880) = ( 592 × 3880 ) / 8
LCM(592,3880) = 2296960 / 8
LCM(592,3880) = 287120
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FAQs on GCF of Fractions of 3587/592, 8403/3880
1. What is the HCF of 3587,8403?
The HCF of 3587,8403 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 3587/592, 8403/3880?
Answer: GCF of Numerators as per given numbers 3587/592, 8403/3880 is
GCF of Numerators i.e. for 3587,8403 is 1
LCM of denominators i.e. for 592,3880 is 287120.
Thus, GCF of Fractions is 1/287120.Finally, GCF of Fractions for 3587/592, 8403/3880 is 1/287120.