GCF of 2003/765, 5712/6980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2003/765, 5712/6980 i.e 1/1067940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2003/765, 5712/6980.
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 2003/765,5712/6980?
Given fractions are 2003/765,5712/6980
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 2003/765,5712/6980, numerators are 2003,5712
Denominators are 765,6980
The GCF of 2003,5712 is 1 .
LCM of 765,6980 is 1067940.
The greatest common factor of 2003/765,5712/6980 = [GCF of 2003,5712]/[LCM of 765,6980]= 1/1067940
Therefore, the GCF of 2003/765,5712/6980 is 1/1067940.
To find the highest common factor of 2003,5712, we have to find the factors of both numbers and list the highest common factor.
The factors of 2003 are 1, 2003
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
The HCF of 2003,5712 is 1.
Lets's calculate GCF of 2003,5712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2003,5712 By Matching Biggest Common Factor Method
Now, list down the factors of 2003
:1,2003
Now, list down the factors of 5712
:1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Greatest Common Factor
We found the factors 2003,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 2003,5712 is 1.
Lets's calculate LCM of 765,6980
| 5 | 765, 6980 |
| 153, 1396 |
∴ So the LCM of the given numbers is 5 x 153 x 1396 = 1067940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1067940
Therefore, the GCF of Fractions 2003/765,5712/6980 is 1/1067940
Least Common Multiple of 765,6980 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 765,6980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,6980) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(765,6980) x common factors =5 x 1 = 5
LCM(765,6980) = ( 765 × 6980 ) / 5
LCM(765,6980) = 5339700 / 5
LCM(765,6980) = 1067940
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FAQs on GCF of Fractions of 2003/765, 5712/6980
1. What is the HCF of 2003,5712?
The HCF of 2003,5712 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 2003/765, 5712/6980?
Answer: GCF of Numerators as per given numbers 2003/765, 5712/6980 is
GCF of Numerators i.e. for 2003,5712 is 1
LCM of denominators i.e. for 765,6980 is 1067940.
Thus, GCF of Fractions is 1/1067940.Finally, GCF of Fractions for 2003/765, 5712/6980 is 1/1067940.