GCF of 5981/578, 1512/6798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5981/578, 1512/6798 i.e 1/1964622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5981/578, 1512/6798.
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 5981/578,1512/6798?
Given fractions are 5981/578,1512/6798
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 5981/578,1512/6798, numerators are 5981,1512
Denominators are 578,6798
The GCF of 5981,1512 is 1 .
LCM of 578,6798 is 1964622.
The greatest common factor of 5981/578,1512/6798 = [GCF of 5981,1512]/[LCM of 578,6798]= 1/1964622
Therefore, the GCF of 5981/578,1512/6798 is 1/1964622.
To find the highest common factor of 5981,1512, we have to find the factors of both numbers and list the highest common factor.
The factors of 5981 are 1, 5981
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512
The HCF of 5981,1512 is 1.
Lets's calculate GCF of 5981,1512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5981,1512 By Matching Biggest Common Factor Method
Now, list down the factors of 5981
:1,5981
Now, list down the factors of 1512
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors 5981,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,1512 is 1.
Lets's calculate LCM of 578,6798
| 2 | 578, 6798 |
| 289, 3399 |
∴ So the LCM of the given numbers is 2 x 289 x 3399 = 1964622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1964622
Therefore, the GCF of Fractions 5981/578,1512/6798 is 1/1964622
Least Common Multiple of 578,6798 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 578,6798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,6798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,6798) x common factors =2 x 1 = 2
LCM(578,6798) = ( 578 × 6798 ) / 2
LCM(578,6798) = 3929244 / 2
LCM(578,6798) = 1964622
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FAQs on GCF of Fractions of 5981/578, 1512/6798
1. What is the HCF of 5981,1512?
The HCF of 5981,1512 is 1
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 5981/578, 1512/6798?
Answer: GCF of Numerators as per given numbers 5981/578, 1512/6798 is
GCF of Numerators i.e. for 5981,1512 is 1
LCM of denominators i.e. for 578,6798 is 1964622.
Thus, GCF of Fractions is 1/1964622.Finally, GCF of Fractions for 5981/578, 1512/6798 is 1/1964622.