GCF of 8493/845, 6593/5373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8493/845, 6593/5373 i.e 19/4540185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8493/845, 6593/5373.
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 8493/845,6593/5373?
Given fractions are 8493/845,6593/5373
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 8493/845,6593/5373, numerators are 8493,6593
Denominators are 845,5373
The GCF of 8493,6593 is 19 .
LCM of 845,5373 is 4540185.
The greatest common factor of 8493/845,6593/5373 = [GCF of 8493,6593]/[LCM of 845,5373]= 19/4540185
Therefore, the GCF of 8493/845,6593/5373 is 19/4540185.
To find the highest common factor of 8493,6593, we have to find the factors of both numbers and list the highest common factor.
The factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493
The factors of 6593 are 1, 19, 347, 6593
The HCF of 8493,6593 is 19.
Lets's calculate GCF of 8493,6593
| 19 | 8493, 6593 |
| 447, 347 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8493,6593 By Matching Biggest Common Factor Method
Now, list down the factors of 8493
:1,3,19,57,149,447,2831,8493
Now, list down the factors of 6593
:1,19,347,6593
Greatest Common Factor
We found the factors 8493,6593 . The biggest common factor number is the GCF number.
So the greatest common factor 8493,6593 is 19.
Lets's calculate LCM of 845,5373
Given numbers has no common factors except 1. So, there LCM is their product i.e 4540185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4540185
Therefore, the GCF of Fractions 8493/845,6593/5373 is 19/4540185
Least Common Multiple of 845,5373 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 845,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,5373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,5373) x common factors =1 x 1 = 1
LCM(845,5373) = ( 845 × 5373 ) / 1
LCM(845,5373) = 4540185 / 1
LCM(845,5373) = 4540185
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FAQs on GCF of Fractions of 8493/845, 6593/5373
1. What is the HCF of 8493,6593?
The HCF of 8493,6593 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 8493/845, 6593/5373?
Answer: GCF of Numerators as per given numbers 8493/845, 6593/5373 is
GCF of Numerators i.e. for 8493,6593 is 19
LCM of denominators i.e. for 845,5373 is 4540185.
Thus, GCF of Fractions is 19/4540185.Finally, GCF of Fractions for 8493/845, 6593/5373 is 19/4540185.