GCF of 6080/683, 2704/9414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6080/683, 2704/9414 i.e 16/6429762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6080/683, 2704/9414.
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 6080/683,2704/9414?
Given fractions are 6080/683,2704/9414
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 6080/683,2704/9414, numerators are 6080,2704
Denominators are 683,9414
The GCF of 6080,2704 is 16 .
LCM of 683,9414 is 6429762.
The greatest common factor of 6080/683,2704/9414 = [GCF of 6080,2704]/[LCM of 683,9414]= 16/6429762
Therefore, the GCF of 6080/683,2704/9414 is 16/6429762.
To find the highest common factor of 6080,2704, 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 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704
The HCF of 6080,2704 is 16.
Lets's calculate GCF of 6080,2704
| 2 | 6080, 2704 |
| 2 | 3040, 1352 |
| 2 | 1520, 676 |
| 2 | 760, 338 |
| 380, 169 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 6080,2704 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 2704
:1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704
Greatest Common Factor
We found the factors 6080,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 6080,2704 is 16.
Lets's calculate LCM of 683,9414
Given numbers has no common factors except 1. So, there LCM is their product i.e 6429762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/6429762
Therefore, the GCF of Fractions 6080/683,2704/9414 is 16/6429762
Least Common Multiple of 683,9414 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 683,9414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,9414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,9414) x common factors =1 x 1 = 1
LCM(683,9414) = ( 683 × 9414 ) / 1
LCM(683,9414) = 6429762 / 1
LCM(683,9414) = 6429762
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FAQs on GCF of Fractions of 6080/683, 2704/9414
1. What is the HCF of 6080,2704?
The HCF of 6080,2704 is 16
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 6080/683, 2704/9414?
Answer: GCF of Numerators as per given numbers 6080/683, 2704/9414 is
GCF of Numerators i.e. for 6080,2704 is 16
LCM of denominators i.e. for 683,9414 is 6429762.
Thus, GCF of Fractions is 16/6429762.Finally, GCF of Fractions for 6080/683, 2704/9414 is 16/6429762.