GCF of 1991/588, 6047/8584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1991/588, 6047/8584 i.e 1/1261848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1991/588, 6047/8584.
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 1991/588,6047/8584?
Given fractions are 1991/588,6047/8584
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 1991/588,6047/8584, numerators are 1991,6047
Denominators are 588,8584
The GCF of 1991,6047 is 1 .
LCM of 588,8584 is 1261848.
The greatest common factor of 1991/588,6047/8584 = [GCF of 1991,6047]/[LCM of 588,8584]= 1/1261848
Therefore, the GCF of 1991/588,6047/8584 is 1/1261848.
To find the highest common factor of 1991,6047, we have to find the factors of both numbers and list the highest common factor.
The factors of 1991 are 1, 11, 181, 1991
The factors of 6047 are 1, 6047
The HCF of 1991,6047 is 1.
Lets's calculate GCF of 1991,6047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1991,6047 By Matching Biggest Common Factor Method
Now, list down the factors of 1991
:1,11,181,1991
Now, list down the factors of 6047
:1,6047
Greatest Common Factor
We found the factors 1991,6047 . The biggest common factor number is the GCF number.
So the greatest common factor 1991,6047 is 1.
Lets's calculate LCM of 588,8584
| 2 | 588, 8584 |
| 2 | 294, 4292 |
| 147, 2146 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 2146 = 1261848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1261848
Therefore, the GCF of Fractions 1991/588,6047/8584 is 1/1261848
Least Common Multiple of 588,8584 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 588,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,8584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,8584) x common factors =4 x 1 = 4
LCM(588,8584) = ( 588 × 8584 ) / 4
LCM(588,8584) = 5047392 / 4
LCM(588,8584) = 1261848
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FAQs on GCF of Fractions of 1991/588, 6047/8584
1. What is the HCF of 1991,6047?
The HCF of 1991,6047 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 1991/588, 6047/8584?
Answer: GCF of Numerators as per given numbers 1991/588, 6047/8584 is
GCF of Numerators i.e. for 1991,6047 is 1
LCM of denominators i.e. for 588,8584 is 1261848.
Thus, GCF of Fractions is 1/1261848.Finally, GCF of Fractions for 1991/588, 6047/8584 is 1/1261848.