GCF of 8158/596, 7390/3086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8158/596, 7390/3086 i.e 2/919628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8158/596, 7390/3086.
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 8158/596,7390/3086?
Given fractions are 8158/596,7390/3086
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 8158/596,7390/3086, numerators are 8158,7390
Denominators are 596,3086
The GCF of 8158,7390 is 2 .
LCM of 596,3086 is 919628.
The greatest common factor of 8158/596,7390/3086 = [GCF of 8158,7390]/[LCM of 596,3086]= 2/919628
Therefore, the GCF of 8158/596,7390/3086 is 2/919628.
To find the highest common factor of 8158,7390, we have to find the factors of both numbers and list the highest common factor.
The factors of 8158 are 1, 2, 4079, 8158
The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390
The HCF of 8158,7390 is 2.
Lets's calculate GCF of 8158,7390
| 2 | 8158, 7390 |
| 4079, 3695 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8158,7390 By Matching Biggest Common Factor Method
Now, list down the factors of 8158
:1,2,4079,8158
Now, list down the factors of 7390
:1,2,5,10,739,1478,3695,7390
Greatest Common Factor
We found the factors 8158,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 8158,7390 is 2.
Lets's calculate LCM of 596,3086
| 2 | 596, 3086 |
| 298, 1543 |
∴ So the LCM of the given numbers is 2 x 298 x 1543 = 919628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/919628
Therefore, the GCF of Fractions 8158/596,7390/3086 is 2/919628
Least Common Multiple of 596,3086 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 596,3086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,3086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,3086) x common factors =2 x 1 = 2
LCM(596,3086) = ( 596 × 3086 ) / 2
LCM(596,3086) = 1839256 / 2
LCM(596,3086) = 919628
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FAQs on GCF of Fractions of 8158/596, 7390/3086
1. What is the HCF of 8158,7390?
The HCF of 8158,7390 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 8158/596, 7390/3086?
Answer: GCF of Numerators as per given numbers 8158/596, 7390/3086 is
GCF of Numerators i.e. for 8158,7390 is 2
LCM of denominators i.e. for 596,3086 is 919628.
Thus, GCF of Fractions is 2/919628.Finally, GCF of Fractions for 8158/596, 7390/3086 is 2/919628.