GCF of 2834/588, 5292/7125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2834/588, 5292/7125 i.e 2/1396500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2834/588, 5292/7125.
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 2834/588,5292/7125?
Given fractions are 2834/588,5292/7125
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 2834/588,5292/7125, numerators are 2834,5292
Denominators are 588,7125
The GCF of 2834,5292 is 2 .
LCM of 588,7125 is 1396500.
The greatest common factor of 2834/588,5292/7125 = [GCF of 2834,5292]/[LCM of 588,7125]= 2/1396500
Therefore, the GCF of 2834/588,5292/7125 is 2/1396500.
To find the highest common factor of 2834,5292, we have to find the factors of both numbers and list the highest common factor.
The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292
The HCF of 2834,5292 is 2.
Lets's calculate GCF of 2834,5292
| 2 | 2834, 5292 |
| 1417, 2646 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2834,5292 By Matching Biggest Common Factor Method
Now, list down the factors of 2834
:1,2,13,26,109,218,1417,2834
Now, list down the factors of 5292
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292
Greatest Common Factor
We found the factors 2834,5292 . The biggest common factor number is the GCF number.
So the greatest common factor 2834,5292 is 2.
Lets's calculate LCM of 588,7125
| 3 | 588, 7125 |
| 196, 2375 |
∴ So the LCM of the given numbers is 3 x 196 x 2375 = 1396500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1396500
Therefore, the GCF of Fractions 2834/588,5292/7125 is 2/1396500
Least Common Multiple of 588,7125 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 588,7125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,7125) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(588,7125) x common factors =3 x 1 = 3
LCM(588,7125) = ( 588 × 7125 ) / 3
LCM(588,7125) = 4189500 / 3
LCM(588,7125) = 1396500
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FAQs on GCF of Fractions of 2834/588, 5292/7125
1. What is the HCF of 2834,5292?
The HCF of 2834,5292 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 2834/588, 5292/7125?
Answer: GCF of Numerators as per given numbers 2834/588, 5292/7125 is
GCF of Numerators i.e. for 2834,5292 is 2
LCM of denominators i.e. for 588,7125 is 1396500.
Thus, GCF of Fractions is 2/1396500.Finally, GCF of Fractions for 2834/588, 5292/7125 is 2/1396500.