GCF of 4437/459, 5370/279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4437/459, 5370/279 i.e 3/14229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4437/459, 5370/279.
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 4437/459,5370/279?
Given fractions are 4437/459,5370/279
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 4437/459,5370/279, numerators are 4437,5370
Denominators are 459,279
The GCF of 4437,5370 is 3 .
LCM of 459,279 is 14229.
The greatest common factor of 4437/459,5370/279 = [GCF of 4437,5370]/[LCM of 459,279]= 3/14229
Therefore, the GCF of 4437/459,5370/279 is 3/14229.
To find the highest common factor of 4437,5370, we have to find the factors of both numbers and list the highest common factor.
The factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437
The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
The HCF of 4437,5370 is 3.
Lets's calculate GCF of 4437,5370
| 3 | 4437, 5370 |
| 1479, 1790 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4437,5370 By Matching Biggest Common Factor Method
Now, list down the factors of 4437
:1,3,9,17,29,51,87,153,261,493,1479,4437
Now, list down the factors of 5370
:1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Greatest Common Factor
We found the factors 4437,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 4437,5370 is 3.
Lets's calculate LCM of 459,279
| 3 | 459, 279 |
| 3 | 153, 93 |
| 51, 31 |
∴ So the LCM of the given numbers is 3 x 3 x 51 x 31 = 14229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14229
Therefore, the GCF of Fractions 4437/459,5370/279 is 3/14229
Least Common Multiple of 459,279 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 459,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,279) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(459,279) x common factors =9 x 1 = 9
LCM(459,279) = ( 459 × 279 ) / 9
LCM(459,279) = 128061 / 9
LCM(459,279) = 14229
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FAQs on GCF of Fractions of 4437/459, 5370/279
1. What is the HCF of 4437,5370?
The HCF of 4437,5370 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 4437/459, 5370/279?
Answer: GCF of Numerators as per given numbers 4437/459, 5370/279 is
GCF of Numerators i.e. for 4437,5370 is 3
LCM of denominators i.e. for 459,279 is 14229.
Thus, GCF of Fractions is 3/14229.Finally, GCF of Fractions for 4437/459, 5370/279 is 3/14229.