GCF of 5084/389, 4274/7993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5084/389, 4274/7993 i.e 2/3109277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5084/389, 4274/7993.
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 5084/389,4274/7993?
Given fractions are 5084/389,4274/7993
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 5084/389,4274/7993, numerators are 5084,4274
Denominators are 389,7993
The GCF of 5084,4274 is 2 .
LCM of 389,7993 is 3109277.
The greatest common factor of 5084/389,4274/7993 = [GCF of 5084,4274]/[LCM of 389,7993]= 2/3109277
Therefore, the GCF of 5084/389,4274/7993 is 2/3109277.
To find the highest common factor of 5084,4274, we have to find the factors of both numbers and list the highest common factor.
The factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084
The factors of 4274 are 1, 2, 2137, 4274
The HCF of 5084,4274 is 2.
Lets's calculate GCF of 5084,4274
| 2 | 5084, 4274 |
| 2542, 2137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5084,4274 By Matching Biggest Common Factor Method
Now, list down the factors of 5084
:1,2,4,31,41,62,82,124,164,1271,2542,5084
Now, list down the factors of 4274
:1,2,2137,4274
Greatest Common Factor
We found the factors 5084,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 5084,4274 is 2.
Lets's calculate LCM of 389,7993
Given numbers has no common factors except 1. So, there LCM is their product i.e 3109277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3109277
Therefore, the GCF of Fractions 5084/389,4274/7993 is 2/3109277
Least Common Multiple of 389,7993 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 389,7993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,7993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,7993) x common factors =1 x 1 = 1
LCM(389,7993) = ( 389 × 7993 ) / 1
LCM(389,7993) = 3109277 / 1
LCM(389,7993) = 3109277
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5084/389, 4274/7993
1. What is the HCF of 5084,4274?
The HCF of 5084,4274 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 5084/389, 4274/7993?
Answer: GCF of Numerators as per given numbers 5084/389, 4274/7993 is
GCF of Numerators i.e. for 5084,4274 is 2
LCM of denominators i.e. for 389,7993 is 3109277.
Thus, GCF of Fractions is 2/3109277.Finally, GCF of Fractions for 5084/389, 4274/7993 is 2/3109277.