GCF of 4395/273, 7980/6428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4395/273, 7980/6428 i.e 15/1754844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4395/273, 7980/6428.
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 4395/273,7980/6428?
Given fractions are 4395/273,7980/6428
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 4395/273,7980/6428, numerators are 4395,7980
Denominators are 273,6428
The GCF of 4395,7980 is 15 .
LCM of 273,6428 is 1754844.
The greatest common factor of 4395/273,7980/6428 = [GCF of 4395,7980]/[LCM of 273,6428]= 15/1754844
Therefore, the GCF of 4395/273,7980/6428 is 15/1754844.
To find the highest common factor of 4395,7980, we have to find the factors of both numbers and list the highest common factor.
The factors of 4395 are 1, 3, 5, 15, 293, 879, 1465, 4395
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The HCF of 4395,7980 is 15.
Lets's calculate GCF of 4395,7980
| 3 | 4395, 7980 |
| 5 | 1465, 2660 |
| 293, 532 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4395,7980 By Matching Biggest Common Factor Method
Now, list down the factors of 4395
:1,3,5,15,293,879,1465,4395
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Greatest Common Factor
We found the factors 4395,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 4395,7980 is 15.
Lets's calculate LCM of 273,6428
Given numbers has no common factors except 1. So, there LCM is their product i.e 1754844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1754844
Therefore, the GCF of Fractions 4395/273,7980/6428 is 15/1754844
Least Common Multiple of 273,6428 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 273,6428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,6428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,6428) x common factors =1 x 1 = 1
LCM(273,6428) = ( 273 × 6428 ) / 1
LCM(273,6428) = 1754844 / 1
LCM(273,6428) = 1754844
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FAQs on GCF of Fractions of 4395/273, 7980/6428
1. What is the HCF of 4395,7980?
The HCF of 4395,7980 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 4395/273, 7980/6428?
Answer: GCF of Numerators as per given numbers 4395/273, 7980/6428 is
GCF of Numerators i.e. for 4395,7980 is 15
LCM of denominators i.e. for 273,6428 is 1754844.
Thus, GCF of Fractions is 15/1754844.Finally, GCF of Fractions for 4395/273, 7980/6428 is 15/1754844.