GCF of 3858/123, 9570/3985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3858/123, 9570/3985 i.e 6/490155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3858/123, 9570/3985.
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 3858/123,9570/3985?
Given fractions are 3858/123,9570/3985
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 3858/123,9570/3985, numerators are 3858,9570
Denominators are 123,3985
The GCF of 3858,9570 is 6 .
LCM of 123,3985 is 490155.
The greatest common factor of 3858/123,9570/3985 = [GCF of 3858,9570]/[LCM of 123,3985]= 6/490155
Therefore, the GCF of 3858/123,9570/3985 is 6/490155.
To find the highest common factor of 3858,9570, we have to find the factors of both numbers and list the highest common factor.
The factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858
The factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
The HCF of 3858,9570 is 6.
Lets's calculate GCF of 3858,9570
| 2 | 3858, 9570 |
| 3 | 1929, 4785 |
| 643, 1595 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3858,9570 By Matching Biggest Common Factor Method
Now, list down the factors of 3858
:1,2,3,6,643,1286,1929,3858
Now, list down the factors of 9570
:1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Greatest Common Factor
We found the factors 3858,9570 . The biggest common factor number is the GCF number.
So the greatest common factor 3858,9570 is 6.
Lets's calculate LCM of 123,3985
Given numbers has no common factors except 1. So, there LCM is their product i.e 490155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/490155
Therefore, the GCF of Fractions 3858/123,9570/3985 is 6/490155
Least Common Multiple of 123,3985 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 123,3985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,3985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,3985) x common factors =1 x 1 = 1
LCM(123,3985) = ( 123 × 3985 ) / 1
LCM(123,3985) = 490155 / 1
LCM(123,3985) = 490155
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FAQs on GCF of Fractions of 3858/123, 9570/3985
1. What is the HCF of 3858,9570?
The HCF of 3858,9570 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 3858/123, 9570/3985?
Answer: GCF of Numerators as per given numbers 3858/123, 9570/3985 is
GCF of Numerators i.e. for 3858,9570 is 6
LCM of denominators i.e. for 123,3985 is 490155.
Thus, GCF of Fractions is 6/490155.Finally, GCF of Fractions for 3858/123, 9570/3985 is 6/490155.