GCF of 3780/831, 9096/513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3780/831, 9096/513 i.e 12/142101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3780/831, 9096/513.
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 3780/831,9096/513?
Given fractions are 3780/831,9096/513
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 3780/831,9096/513, numerators are 3780,9096
Denominators are 831,513
The GCF of 3780,9096 is 12 .
LCM of 831,513 is 142101.
The greatest common factor of 3780/831,9096/513 = [GCF of 3780,9096]/[LCM of 831,513]= 12/142101
Therefore, the GCF of 3780/831,9096/513 is 12/142101.
To find the highest common factor of 3780,9096, we have to find the factors of both numbers and list the highest common factor.
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The factors of 9096 are 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096
The HCF of 3780,9096 is 12.
Lets's calculate GCF of 3780,9096
| 2 | 3780, 9096 |
| 2 | 1890, 4548 |
| 3 | 945, 2274 |
| 315, 758 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3780,9096 By Matching Biggest Common Factor Method
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Now, list down the factors of 9096
:1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096
Greatest Common Factor
We found the factors 3780,9096 . The biggest common factor number is the GCF number.
So the greatest common factor 3780,9096 is 12.
Lets's calculate LCM of 831,513
| 3 | 831, 513 |
| 277, 171 |
∴ So the LCM of the given numbers is 3 x 277 x 171 = 142101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/142101
Therefore, the GCF of Fractions 3780/831,9096/513 is 12/142101
Least Common Multiple of 831,513 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 831,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,513) x common factors =3 x 1 = 3
LCM(831,513) = ( 831 × 513 ) / 3
LCM(831,513) = 426303 / 3
LCM(831,513) = 142101
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3780/831, 9096/513
1. What is the HCF of 3780,9096?
The HCF of 3780,9096 is 12
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 3780/831, 9096/513?
Answer: GCF of Numerators as per given numbers 3780/831, 9096/513 is
GCF of Numerators i.e. for 3780,9096 is 12
LCM of denominators i.e. for 831,513 is 142101.
Thus, GCF of Fractions is 12/142101.Finally, GCF of Fractions for 3780/831, 9096/513 is 12/142101.