GCF of 3780/543, 5415/376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3780/543, 5415/376 i.e 15/204168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3780/543, 5415/376.
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 3780/543,5415/376?
Given fractions are 3780/543,5415/376
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 3780/543,5415/376, numerators are 3780,5415
Denominators are 543,376
The GCF of 3780,5415 is 15 .
LCM of 543,376 is 204168.
The greatest common factor of 3780/543,5415/376 = [GCF of 3780,5415]/[LCM of 543,376]= 15/204168
Therefore, the GCF of 3780/543,5415/376 is 15/204168.
To find the highest common factor of 3780,5415, 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 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415
The HCF of 3780,5415 is 15.
Lets's calculate GCF of 3780,5415
| 3 | 3780, 5415 |
| 5 | 1260, 1805 |
| 252, 361 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3780,5415 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 5415
:1,3,5,15,19,57,95,285,361,1083,1805,5415
Greatest Common Factor
We found the factors 3780,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 3780,5415 is 15.
Lets's calculate LCM of 543,376
Given numbers has no common factors except 1. So, there LCM is their product i.e 204168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/204168
Therefore, the GCF of Fractions 3780/543,5415/376 is 15/204168
Least Common Multiple of 543,376 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 543,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,376) x common factors =1 x 1 = 1
LCM(543,376) = ( 543 × 376 ) / 1
LCM(543,376) = 204168 / 1
LCM(543,376) = 204168
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FAQs on GCF of Fractions of 3780/543, 5415/376
1. What is the HCF of 3780,5415?
The HCF of 3780,5415 is 15
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 3780/543, 5415/376?
Answer: GCF of Numerators as per given numbers 3780/543, 5415/376 is
GCF of Numerators i.e. for 3780,5415 is 15
LCM of denominators i.e. for 543,376 is 204168.
Thus, GCF of Fractions is 15/204168.Finally, GCF of Fractions for 3780/543, 5415/376 is 15/204168.