GCF of 6428/361, 6080/3219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6428/361, 6080/3219 i.e 4/1162059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6428/361, 6080/3219.
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 6428/361,6080/3219?
Given fractions are 6428/361,6080/3219
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 6428/361,6080/3219, numerators are 6428,6080
Denominators are 361,3219
The GCF of 6428,6080 is 4 .
LCM of 361,3219 is 1162059.
The greatest common factor of 6428/361,6080/3219 = [GCF of 6428,6080]/[LCM of 361,3219]= 4/1162059
Therefore, the GCF of 6428/361,6080/3219 is 4/1162059.
To find the highest common factor of 6428,6080, we have to find the factors of both numbers and list the highest common factor.
The factors of 6428 are 1, 2, 4, 1607, 3214, 6428
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 HCF of 6428,6080 is 4.
Lets's calculate GCF of 6428,6080
| 2 | 6428, 6080 |
| 2 | 3214, 3040 |
| 1607, 1520 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6428,6080 By Matching Biggest Common Factor Method
Now, list down the factors of 6428
:1,2,4,1607,3214,6428
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
Greatest Common Factor
We found the factors 6428,6080 . The biggest common factor number is the GCF number.
So the greatest common factor 6428,6080 is 4.
Lets's calculate LCM of 361,3219
Given numbers has no common factors except 1. So, there LCM is their product i.e 1162059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1162059
Therefore, the GCF of Fractions 6428/361,6080/3219 is 4/1162059
Least Common Multiple of 361,3219 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 361,3219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,3219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,3219) x common factors =1 x 1 = 1
LCM(361,3219) = ( 361 × 3219 ) / 1
LCM(361,3219) = 1162059 / 1
LCM(361,3219) = 1162059
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FAQs on GCF of Fractions of 6428/361, 6080/3219
1. What is the HCF of 6428,6080?
The HCF of 6428,6080 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 6428/361, 6080/3219?
Answer: GCF of Numerators as per given numbers 6428/361, 6080/3219 is
GCF of Numerators i.e. for 6428,6080 is 4
LCM of denominators i.e. for 361,3219 is 1162059.
Thus, GCF of Fractions is 4/1162059.Finally, GCF of Fractions for 6428/361, 6080/3219 is 4/1162059.