GCF of 1591/510, 5069/9966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1591/510, 5069/9966 i.e 37/847110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1591/510, 5069/9966.
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 1591/510,5069/9966?
Given fractions are 1591/510,5069/9966
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 1591/510,5069/9966, numerators are 1591,5069
Denominators are 510,9966
The GCF of 1591,5069 is 37 .
LCM of 510,9966 is 847110.
The greatest common factor of 1591/510,5069/9966 = [GCF of 1591,5069]/[LCM of 510,9966]= 37/847110
Therefore, the GCF of 1591/510,5069/9966 is 37/847110.
To find the highest common factor of 1591,5069, we have to find the factors of both numbers and list the highest common factor.
The factors of 1591 are 1, 37, 43, 1591
The factors of 5069 are 1, 37, 137, 5069
The HCF of 1591,5069 is 37.
Lets's calculate GCF of 1591,5069
| 37 | 1591, 5069 |
| 43, 137 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 1591,5069 By Matching Biggest Common Factor Method
Now, list down the factors of 1591
:1,37,43,1591
Now, list down the factors of 5069
:1,37,137,5069
Greatest Common Factor
We found the factors 1591,5069 . The biggest common factor number is the GCF number.
So the greatest common factor 1591,5069 is 37.
Lets's calculate LCM of 510,9966
| 2 | 510, 9966 |
| 3 | 255, 4983 |
| 85, 1661 |
∴ So the LCM of the given numbers is 2 x 3 x 85 x 1661 = 847110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/847110
Therefore, the GCF of Fractions 1591/510,5069/9966 is 37/847110
Least Common Multiple of 510,9966 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 510,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,9966) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(510,9966) x common factors =6 x 1 = 6
LCM(510,9966) = ( 510 × 9966 ) / 6
LCM(510,9966) = 5082660 / 6
LCM(510,9966) = 847110
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FAQs on GCF of Fractions of 1591/510, 5069/9966
1. What is the HCF of 1591,5069?
The HCF of 1591,5069 is 37
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 1591/510, 5069/9966?
Answer: GCF of Numerators as per given numbers 1591/510, 5069/9966 is
GCF of Numerators i.e. for 1591,5069 is 37
LCM of denominators i.e. for 510,9966 is 847110.
Thus, GCF of Fractions is 37/847110.Finally, GCF of Fractions for 1591/510, 5069/9966 is 37/847110.