GCF of 4137/590, 6072/394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4137/590, 6072/394 i.e 3/116230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4137/590, 6072/394.
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 4137/590,6072/394?
Given fractions are 4137/590,6072/394
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 4137/590,6072/394, numerators are 4137,6072
Denominators are 590,394
The GCF of 4137,6072 is 3 .
LCM of 590,394 is 116230.
The greatest common factor of 4137/590,6072/394 = [GCF of 4137,6072]/[LCM of 590,394]= 3/116230
Therefore, the GCF of 4137/590,6072/394 is 3/116230.
To find the highest common factor of 4137,6072, we have to find the factors of both numbers and list the highest common factor.
The factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137
The factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072
The HCF of 4137,6072 is 3.
Lets's calculate GCF of 4137,6072
| 3 | 4137, 6072 |
| 1379, 2024 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4137,6072 By Matching Biggest Common Factor Method
Now, list down the factors of 4137
:1,3,7,21,197,591,1379,4137
Now, list down the factors of 6072
:1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Greatest Common Factor
We found the factors 4137,6072 . The biggest common factor number is the GCF number.
So the greatest common factor 4137,6072 is 3.
Lets's calculate LCM of 590,394
| 2 | 590, 394 |
| 295, 197 |
∴ So the LCM of the given numbers is 2 x 295 x 197 = 116230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/116230
Therefore, the GCF of Fractions 4137/590,6072/394 is 3/116230
Least Common Multiple of 590,394 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 590,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,394) x common factors =2 x 1 = 2
LCM(590,394) = ( 590 × 394 ) / 2
LCM(590,394) = 232460 / 2
LCM(590,394) = 116230
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FAQs on GCF of Fractions of 4137/590, 6072/394
1. What is the HCF of 4137,6072?
The HCF of 4137,6072 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 4137/590, 6072/394?
Answer: GCF of Numerators as per given numbers 4137/590, 6072/394 is
GCF of Numerators i.e. for 4137,6072 is 3
LCM of denominators i.e. for 590,394 is 116230.
Thus, GCF of Fractions is 3/116230.Finally, GCF of Fractions for 4137/590, 6072/394 is 3/116230.