GCF of 3726/115, 4830/5718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3726/115, 4830/5718 i.e 138/657570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3726/115, 4830/5718.
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 3726/115,4830/5718?
Given fractions are 3726/115,4830/5718
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 3726/115,4830/5718, numerators are 3726,4830
Denominators are 115,5718
The GCF of 3726,4830 is 138 .
LCM of 115,5718 is 657570.
The greatest common factor of 3726/115,4830/5718 = [GCF of 3726,4830]/[LCM of 115,5718]= 138/657570
Therefore, the GCF of 3726/115,4830/5718 is 138/657570.
To find the highest common factor of 3726,4830, we have to find the factors of both numbers and list the highest common factor.
The factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726
The factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830
The HCF of 3726,4830 is 138.
Lets's calculate GCF of 3726,4830
| 2 | 3726, 4830 |
| 3 | 1863, 2415 |
| 23 | 621, 805 |
| 27, 35 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Greatest Common Factor of 3726,4830 By Matching Biggest Common Factor Method
Now, list down the factors of 3726
:1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726
Now, list down the factors of 4830
:1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830
Greatest Common Factor
We found the factors 3726,4830 . The biggest common factor number is the GCF number.
So the greatest common factor 3726,4830 is 138.
Lets's calculate LCM of 115,5718
Given numbers has no common factors except 1. So, there LCM is their product i.e 657570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 138/657570
Therefore, the GCF of Fractions 3726/115,4830/5718 is 138/657570
Least Common Multiple of 115,5718 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 115,5718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,5718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,5718) x common factors =1 x 1 = 1
LCM(115,5718) = ( 115 × 5718 ) / 1
LCM(115,5718) = 657570 / 1
LCM(115,5718) = 657570
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FAQs on GCF of Fractions of 3726/115, 4830/5718
1. What is the HCF of 3726,4830?
The HCF of 3726,4830 is 138
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 3726/115, 4830/5718?
Answer: GCF of Numerators as per given numbers 3726/115, 4830/5718 is
GCF of Numerators i.e. for 3726,4830 is 138
LCM of denominators i.e. for 115,5718 is 657570.
Thus, GCF of Fractions is 138/657570.Finally, GCF of Fractions for 3726/115, 4830/5718 is 138/657570.