GCF of 2004/755, 5685/6860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2004/755, 5685/6860 i.e 3/1035860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2004/755, 5685/6860.
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 2004/755,5685/6860?
Given fractions are 2004/755,5685/6860
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 2004/755,5685/6860, numerators are 2004,5685
Denominators are 755,6860
The GCF of 2004,5685 is 3 .
LCM of 755,6860 is 1035860.
The greatest common factor of 2004/755,5685/6860 = [GCF of 2004,5685]/[LCM of 755,6860]= 3/1035860
Therefore, the GCF of 2004/755,5685/6860 is 3/1035860.
To find the highest common factor of 2004,5685, we have to find the factors of both numbers and list the highest common factor.
The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004
The factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685
The HCF of 2004,5685 is 3.
Lets's calculate GCF of 2004,5685
| 3 | 2004, 5685 |
| 668, 1895 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2004,5685 By Matching Biggest Common Factor Method
Now, list down the factors of 2004
:1,2,3,4,6,12,167,334,501,668,1002,2004
Now, list down the factors of 5685
:1,3,5,15,379,1137,1895,5685
Greatest Common Factor
We found the factors 2004,5685 . The biggest common factor number is the GCF number.
So the greatest common factor 2004,5685 is 3.
Lets's calculate LCM of 755,6860
| 5 | 755, 6860 |
| 151, 1372 |
∴ So the LCM of the given numbers is 5 x 151 x 1372 = 1035860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1035860
Therefore, the GCF of Fractions 2004/755,5685/6860 is 3/1035860
Least Common Multiple of 755,6860 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 755,6860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,6860) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(755,6860) x common factors =5 x 1 = 5
LCM(755,6860) = ( 755 × 6860 ) / 5
LCM(755,6860) = 5179300 / 5
LCM(755,6860) = 1035860
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FAQs on GCF of Fractions of 2004/755, 5685/6860
1. What is the HCF of 2004,5685?
The HCF of 2004,5685 is 3
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 2004/755, 5685/6860?
Answer: GCF of Numerators as per given numbers 2004/755, 5685/6860 is
GCF of Numerators i.e. for 2004,5685 is 3
LCM of denominators i.e. for 755,6860 is 1035860.
Thus, GCF of Fractions is 3/1035860.Finally, GCF of Fractions for 2004/755, 5685/6860 is 3/1035860.