GCF of 3870/926, 2040/3892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3870/926, 2040/3892 i.e 30/1801996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3870/926, 2040/3892.
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 3870/926,2040/3892?
Given fractions are 3870/926,2040/3892
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 3870/926,2040/3892, numerators are 3870,2040
Denominators are 926,3892
The GCF of 3870,2040 is 30 .
LCM of 926,3892 is 1801996.
The greatest common factor of 3870/926,2040/3892 = [GCF of 3870,2040]/[LCM of 926,3892]= 30/1801996
Therefore, the GCF of 3870/926,2040/3892 is 30/1801996.
To find the highest common factor of 3870,2040, we have to find the factors of both numbers and list the highest common factor.
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040
The HCF of 3870,2040 is 30.
Lets's calculate GCF of 3870,2040
| 2 | 3870, 2040 |
| 3 | 1935, 1020 |
| 5 | 645, 340 |
| 129, 68 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 3870,2040 By Matching Biggest Common Factor Method
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Now, list down the factors of 2040
:1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Greatest Common Factor
We found the factors 3870,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 3870,2040 is 30.
Lets's calculate LCM of 926,3892
| 2 | 926, 3892 |
| 463, 1946 |
∴ So the LCM of the given numbers is 2 x 463 x 1946 = 1801996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1801996
Therefore, the GCF of Fractions 3870/926,2040/3892 is 30/1801996
Least Common Multiple of 926,3892 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 926,3892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,3892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,3892) x common factors =2 x 1 = 2
LCM(926,3892) = ( 926 × 3892 ) / 2
LCM(926,3892) = 3603992 / 2
LCM(926,3892) = 1801996
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3870/926, 2040/3892
1. What is the HCF of 3870,2040?
The HCF of 3870,2040 is 30
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 3870/926, 2040/3892?
Answer: GCF of Numerators as per given numbers 3870/926, 2040/3892 is
GCF of Numerators i.e. for 3870,2040 is 30
LCM of denominators i.e. for 926,3892 is 1801996.
Thus, GCF of Fractions is 30/1801996.Finally, GCF of Fractions for 3870/926, 2040/3892 is 30/1801996.