GCF of 6080/828, 4116/4045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6080/828, 4116/4045 i.e 4/3349260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6080/828, 4116/4045.
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 6080/828,4116/4045?
Given fractions are 6080/828,4116/4045
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 6080/828,4116/4045, numerators are 6080,4116
Denominators are 828,4045
The GCF of 6080,4116 is 4 .
LCM of 828,4045 is 3349260.
The greatest common factor of 6080/828,4116/4045 = [GCF of 6080,4116]/[LCM of 828,4045]= 4/3349260
Therefore, the GCF of 6080/828,4116/4045 is 4/3349260.
To find the highest common factor of 6080,4116, we have to find the factors of both numbers and list the highest common factor.
The factors of 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080
The factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The HCF of 6080,4116 is 4.
Lets's calculate GCF of 6080,4116
| 2 | 6080, 4116 |
| 2 | 3040, 2058 |
| 1520, 1029 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6080,4116 By Matching Biggest Common Factor Method
Now, list down the factors of 6080
:1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080
Now, list down the factors of 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Greatest Common Factor
We found the factors 6080,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 6080,4116 is 4.
Lets's calculate LCM of 828,4045
Given numbers has no common factors except 1. So, there LCM is their product i.e 3349260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3349260
Therefore, the GCF of Fractions 6080/828,4116/4045 is 4/3349260
Least Common Multiple of 828,4045 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 828,4045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,4045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,4045) x common factors =1 x 1 = 1
LCM(828,4045) = ( 828 × 4045 ) / 1
LCM(828,4045) = 3349260 / 1
LCM(828,4045) = 3349260
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FAQs on GCF of Fractions of 6080/828, 4116/4045
1. What is the HCF of 6080,4116?
The HCF of 6080,4116 is 4
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 6080/828, 4116/4045?
Answer: GCF of Numerators as per given numbers 6080/828, 4116/4045 is
GCF of Numerators i.e. for 6080,4116 is 4
LCM of denominators i.e. for 828,4045 is 3349260.
Thus, GCF of Fractions is 4/3349260.Finally, GCF of Fractions for 6080/828, 4116/4045 is 4/3349260.