GCF of 5712/364, 3810/4025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5712/364, 3810/4025 i.e 6/209300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5712/364, 3810/4025.
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 5712/364,3810/4025?
Given fractions are 5712/364,3810/4025
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 5712/364,3810/4025, numerators are 5712,3810
Denominators are 364,4025
The GCF of 5712,3810 is 6 .
LCM of 364,4025 is 209300.
The greatest common factor of 5712/364,3810/4025 = [GCF of 5712,3810]/[LCM of 364,4025]= 6/209300
Therefore, the GCF of 5712/364,3810/4025 is 6/209300.
To find the highest common factor of 5712,3810, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The HCF of 5712,3810 is 6.
Lets's calculate GCF of 5712,3810
| 2 | 5712, 3810 |
| 3 | 2856, 1905 |
| 952, 635 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5712,3810 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 5712,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 5712,3810 is 6.
Lets's calculate LCM of 364,4025
| 7 | 364, 4025 |
| 52, 575 |
∴ So the LCM of the given numbers is 7 x 52 x 575 = 209300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/209300
Therefore, the GCF of Fractions 5712/364,3810/4025 is 6/209300
Least Common Multiple of 364,4025 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 364,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,4025) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(364,4025) x common factors =7 x 1 = 7
LCM(364,4025) = ( 364 × 4025 ) / 7
LCM(364,4025) = 1465100 / 7
LCM(364,4025) = 209300
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FAQs on GCF of Fractions of 5712/364, 3810/4025
1. What is the HCF of 5712,3810?
The HCF of 5712,3810 is 6
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 5712/364, 3810/4025?
Answer: GCF of Numerators as per given numbers 5712/364, 3810/4025 is
GCF of Numerators i.e. for 5712,3810 is 6
LCM of denominators i.e. for 364,4025 is 209300.
Thus, GCF of Fractions is 6/209300.Finally, GCF of Fractions for 5712/364, 3810/4025 is 6/209300.