GCF of 5958/464, 5990/1778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5958/464, 5990/1778 i.e 2/412496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5958/464, 5990/1778.
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 5958/464,5990/1778?
Given fractions are 5958/464,5990/1778
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 5958/464,5990/1778, numerators are 5958,5990
Denominators are 464,1778
The GCF of 5958,5990 is 2 .
LCM of 464,1778 is 412496.
The greatest common factor of 5958/464,5990/1778 = [GCF of 5958,5990]/[LCM of 464,1778]= 2/412496
Therefore, the GCF of 5958/464,5990/1778 is 2/412496.
To find the highest common factor of 5958,5990, we have to find the factors of both numbers and list the highest common factor.
The factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958
The factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990
The HCF of 5958,5990 is 2.
Lets's calculate GCF of 5958,5990
| 2 | 5958, 5990 |
| 2979, 2995 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5958,5990 By Matching Biggest Common Factor Method
Now, list down the factors of 5958
:1,2,3,6,9,18,331,662,993,1986,2979,5958
Now, list down the factors of 5990
:1,2,5,10,599,1198,2995,5990
Greatest Common Factor
We found the factors 5958,5990 . The biggest common factor number is the GCF number.
So the greatest common factor 5958,5990 is 2.
Lets's calculate LCM of 464,1778
| 2 | 464, 1778 |
| 232, 889 |
∴ So the LCM of the given numbers is 2 x 232 x 889 = 412496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/412496
Therefore, the GCF of Fractions 5958/464,5990/1778 is 2/412496
Least Common Multiple of 464,1778 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 464,1778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,1778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(464,1778) x common factors =2 x 1 = 2
LCM(464,1778) = ( 464 × 1778 ) / 2
LCM(464,1778) = 824992 / 2
LCM(464,1778) = 412496
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5958/464, 5990/1778
1. What is the HCF of 5958,5990?
The HCF of 5958,5990 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 5958/464, 5990/1778?
Answer: GCF of Numerators as per given numbers 5958/464, 5990/1778 is
GCF of Numerators i.e. for 5958,5990 is 2
LCM of denominators i.e. for 464,1778 is 412496.
Thus, GCF of Fractions is 2/412496.Finally, GCF of Fractions for 5958/464, 5990/1778 is 2/412496.