GCF of 5080/659, 5942/7018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5080/659, 5942/7018 i.e 2/4624862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5080/659, 5942/7018.
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 5080/659,5942/7018?
Given fractions are 5080/659,5942/7018
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 5080/659,5942/7018, numerators are 5080,5942
Denominators are 659,7018
The GCF of 5080,5942 is 2 .
LCM of 659,7018 is 4624862.
The greatest common factor of 5080/659,5942/7018 = [GCF of 5080,5942]/[LCM of 659,7018]= 2/4624862
Therefore, the GCF of 5080/659,5942/7018 is 2/4624862.
To find the highest common factor of 5080,5942, we have to find the factors of both numbers and list the highest common factor.
The factors of 5080 are 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080
The factors of 5942 are 1, 2, 2971, 5942
The HCF of 5080,5942 is 2.
Lets's calculate GCF of 5080,5942
| 2 | 5080, 5942 |
| 2540, 2971 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5080,5942 By Matching Biggest Common Factor Method
Now, list down the factors of 5080
:1,2,4,5,8,10,20,40,127,254,508,635,1016,1270,2540,5080
Now, list down the factors of 5942
:1,2,2971,5942
Greatest Common Factor
We found the factors 5080,5942 . The biggest common factor number is the GCF number.
So the greatest common factor 5080,5942 is 2.
Lets's calculate LCM of 659,7018
Given numbers has no common factors except 1. So, there LCM is their product i.e 4624862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4624862
Therefore, the GCF of Fractions 5080/659,5942/7018 is 2/4624862
Least Common Multiple of 659,7018 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 659,7018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,7018) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,7018) x common factors =1 x 1 = 1
LCM(659,7018) = ( 659 × 7018 ) / 1
LCM(659,7018) = 4624862 / 1
LCM(659,7018) = 4624862
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5080/659, 5942/7018
1. What is the HCF of 5080,5942?
The HCF of 5080,5942 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 5080/659, 5942/7018?
Answer: GCF of Numerators as per given numbers 5080/659, 5942/7018 is
GCF of Numerators i.e. for 5080,5942 is 2
LCM of denominators i.e. for 659,7018 is 4624862.
Thus, GCF of Fractions is 2/4624862.Finally, GCF of Fractions for 5080/659, 5942/7018 is 2/4624862.