GCF of 5890/459, 8432/1812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5890/459, 8432/1812 i.e 62/277236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5890/459, 8432/1812.
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 5890/459,8432/1812?
Given fractions are 5890/459,8432/1812
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 5890/459,8432/1812, numerators are 5890,8432
Denominators are 459,1812
The GCF of 5890,8432 is 62 .
LCM of 459,1812 is 277236.
The greatest common factor of 5890/459,8432/1812 = [GCF of 5890,8432]/[LCM of 459,1812]= 62/277236
Therefore, the GCF of 5890/459,8432/1812 is 62/277236.
To find the highest common factor of 5890,8432, we have to find the factors of both numbers and list the highest common factor.
The factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432
The HCF of 5890,8432 is 62.
Lets's calculate GCF of 5890,8432
| 2 | 5890, 8432 |
| 31 | 2945, 4216 |
| 95, 136 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 5890,8432 By Matching Biggest Common Factor Method
Now, list down the factors of 5890
:1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Now, list down the factors of 8432
:1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432
Greatest Common Factor
We found the factors 5890,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 5890,8432 is 62.
Lets's calculate LCM of 459,1812
| 3 | 459, 1812 |
| 153, 604 |
∴ So the LCM of the given numbers is 3 x 153 x 604 = 277236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/277236
Therefore, the GCF of Fractions 5890/459,8432/1812 is 62/277236
Least Common Multiple of 459,1812 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 459,1812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,1812) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,1812) x common factors =3 x 1 = 3
LCM(459,1812) = ( 459 × 1812 ) / 3
LCM(459,1812) = 831708 / 3
LCM(459,1812) = 277236
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FAQs on GCF of Fractions of 5890/459, 8432/1812
1. What is the HCF of 5890,8432?
The HCF of 5890,8432 is 62
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 5890/459, 8432/1812?
Answer: GCF of Numerators as per given numbers 5890/459, 8432/1812 is
GCF of Numerators i.e. for 5890,8432 is 62
LCM of denominators i.e. for 459,1812 is 277236.
Thus, GCF of Fractions is 62/277236.Finally, GCF of Fractions for 5890/459, 8432/1812 is 62/277236.