GCF of 6080/239, 2114/1308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6080/239, 2114/1308 i.e 2/312612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6080/239, 2114/1308.
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 6080/239,2114/1308?
Given fractions are 6080/239,2114/1308
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 6080/239,2114/1308, numerators are 6080,2114
Denominators are 239,1308
The GCF of 6080,2114 is 2 .
LCM of 239,1308 is 312612.
The greatest common factor of 6080/239,2114/1308 = [GCF of 6080,2114]/[LCM of 239,1308]= 2/312612
Therefore, the GCF of 6080/239,2114/1308 is 2/312612.
To find the highest common factor of 6080,2114, 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 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The HCF of 6080,2114 is 2.
Lets's calculate GCF of 6080,2114
| 2 | 6080, 2114 |
| 3040, 1057 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6080,2114 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 2114
:1,2,7,14,151,302,1057,2114
Greatest Common Factor
We found the factors 6080,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 6080,2114 is 2.
Lets's calculate LCM of 239,1308
Given numbers has no common factors except 1. So, there LCM is their product i.e 312612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/312612
Therefore, the GCF of Fractions 6080/239,2114/1308 is 2/312612
Least Common Multiple of 239,1308 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 239,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,1308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,1308) x common factors =1 x 1 = 1
LCM(239,1308) = ( 239 × 1308 ) / 1
LCM(239,1308) = 312612 / 1
LCM(239,1308) = 312612
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FAQs on GCF of Fractions of 6080/239, 2114/1308
1. What is the HCF of 6080,2114?
The HCF of 6080,2114 is 2
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 6080/239, 2114/1308?
Answer: GCF of Numerators as per given numbers 6080/239, 2114/1308 is
GCF of Numerators i.e. for 6080,2114 is 2
LCM of denominators i.e. for 239,1308 is 312612.
Thus, GCF of Fractions is 2/312612.Finally, GCF of Fractions for 6080/239, 2114/1308 is 2/312612.