GCF of 6593/559, 2071/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6593/559, 2071/711 i.e 19/397449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6593/559, 2071/711.
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 6593/559,2071/711?
Given fractions are 6593/559,2071/711
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 6593/559,2071/711, numerators are 6593,2071
Denominators are 559,711
The GCF of 6593,2071 is 19 .
LCM of 559,711 is 397449.
The greatest common factor of 6593/559,2071/711 = [GCF of 6593,2071]/[LCM of 559,711]= 19/397449
Therefore, the GCF of 6593/559,2071/711 is 19/397449.
To find the highest common factor of 6593,2071, we have to find the factors of both numbers and list the highest common factor.
The factors of 6593 are 1, 19, 347, 6593
The factors of 2071 are 1, 19, 109, 2071
The HCF of 6593,2071 is 19.
Lets's calculate GCF of 6593,2071
| 19 | 6593, 2071 |
| 347, 109 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 6593,2071 By Matching Biggest Common Factor Method
Now, list down the factors of 6593
:1,19,347,6593
Now, list down the factors of 2071
:1,19,109,2071
Greatest Common Factor
We found the factors 6593,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 6593,2071 is 19.
Lets's calculate LCM of 559,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 397449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/397449
Therefore, the GCF of Fractions 6593/559,2071/711 is 19/397449
Least Common Multiple of 559,711 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 559,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,711) x common factors =1 x 1 = 1
LCM(559,711) = ( 559 × 711 ) / 1
LCM(559,711) = 397449 / 1
LCM(559,711) = 397449
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FAQs on GCF of Fractions of 6593/559, 2071/711
1. What is the HCF of 6593,2071?
The HCF of 6593,2071 is 19
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 6593/559, 2071/711?
Answer: GCF of Numerators as per given numbers 6593/559, 2071/711 is
GCF of Numerators i.e. for 6593,2071 is 19
LCM of denominators i.e. for 559,711 is 397449.
Thus, GCF of Fractions is 19/397449.Finally, GCF of Fractions for 6593/559, 2071/711 is 19/397449.