GCF of 5890/791, 6584/8263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5890/791, 6584/8263 i.e 2/6536033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5890/791, 6584/8263.
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 5890/791,6584/8263?
Given fractions are 5890/791,6584/8263
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 5890/791,6584/8263, numerators are 5890,6584
Denominators are 791,8263
The GCF of 5890,6584 is 2 .
LCM of 791,8263 is 6536033.
The greatest common factor of 5890/791,6584/8263 = [GCF of 5890,6584]/[LCM of 791,8263]= 2/6536033
Therefore, the GCF of 5890/791,6584/8263 is 2/6536033.
To find the highest common factor of 5890,6584, we have to find the factors of both numbers and list the highest common factor.
The factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
The factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584
The HCF of 5890,6584 is 2.
Lets's calculate GCF of 5890,6584
| 2 | 5890, 6584 |
| 2945, 3292 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5890,6584 By Matching Biggest Common Factor Method
Now, list down the factors of 5890
:1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Now, list down the factors of 6584
:1,2,4,8,823,1646,3292,6584
Greatest Common Factor
We found the factors 5890,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 5890,6584 is 2.
Lets's calculate LCM of 791,8263
Given numbers has no common factors except 1. So, there LCM is their product i.e 6536033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6536033
Therefore, the GCF of Fractions 5890/791,6584/8263 is 2/6536033
Least Common Multiple of 791,8263 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 791,8263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,8263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,8263) x common factors =1 x 1 = 1
LCM(791,8263) = ( 791 × 8263 ) / 1
LCM(791,8263) = 6536033 / 1
LCM(791,8263) = 6536033
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FAQs on GCF of Fractions of 5890/791, 6584/8263
1. What is the HCF of 5890,6584?
The HCF of 5890,6584 is 2
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 5890/791, 6584/8263?
Answer: GCF of Numerators as per given numbers 5890/791, 6584/8263 is
GCF of Numerators i.e. for 5890,6584 is 2
LCM of denominators i.e. for 791,8263 is 6536033.
Thus, GCF of Fractions is 2/6536033.Finally, GCF of Fractions for 5890/791, 6584/8263 is 2/6536033.