GCF of 5982/715, 8336/7991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5982/715, 8336/7991 i.e 2/5713565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5982/715, 8336/7991.
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 5982/715,8336/7991?
Given fractions are 5982/715,8336/7991
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 5982/715,8336/7991, numerators are 5982,8336
Denominators are 715,7991
The GCF of 5982,8336 is 2 .
LCM of 715,7991 is 5713565.
The greatest common factor of 5982/715,8336/7991 = [GCF of 5982,8336]/[LCM of 715,7991]= 2/5713565
Therefore, the GCF of 5982/715,8336/7991 is 2/5713565.
To find the highest common factor of 5982,8336, we have to find the factors of both numbers and list the highest common factor.
The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982
The factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336
The HCF of 5982,8336 is 2.
Lets's calculate GCF of 5982,8336
| 2 | 5982, 8336 |
| 2991, 4168 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5982,8336 By Matching Biggest Common Factor Method
Now, list down the factors of 5982
:1,2,3,6,997,1994,2991,5982
Now, list down the factors of 8336
:1,2,4,8,16,521,1042,2084,4168,8336
Greatest Common Factor
We found the factors 5982,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,8336 is 2.
Lets's calculate LCM of 715,7991
Given numbers has no common factors except 1. So, there LCM is their product i.e 5713565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5713565
Therefore, the GCF of Fractions 5982/715,8336/7991 is 2/5713565
Least Common Multiple of 715,7991 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 715,7991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,7991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,7991) x common factors =1 x 1 = 1
LCM(715,7991) = ( 715 × 7991 ) / 1
LCM(715,7991) = 5713565 / 1
LCM(715,7991) = 5713565
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FAQs on GCF of Fractions of 5982/715, 8336/7991
1. What is the HCF of 5982,8336?
The HCF of 5982,8336 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 5982/715, 8336/7991?
Answer: GCF of Numerators as per given numbers 5982/715, 8336/7991 is
GCF of Numerators i.e. for 5982,8336 is 2
LCM of denominators i.e. for 715,7991 is 5713565.
Thus, GCF of Fractions is 2/5713565.Finally, GCF of Fractions for 5982/715, 8336/7991 is 2/5713565.