GCF of 7992/739, 8737/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7992/739, 8737/408 i.e 1/301512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7992/739, 8737/408.
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 7992/739,8737/408?
Given fractions are 7992/739,8737/408
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 7992/739,8737/408, numerators are 7992,8737
Denominators are 739,408
The GCF of 7992,8737 is 1 .
LCM of 739,408 is 301512.
The greatest common factor of 7992/739,8737/408 = [GCF of 7992,8737]/[LCM of 739,408]= 1/301512
Therefore, the GCF of 7992/739,8737/408 is 1/301512.
To find the highest common factor of 7992,8737, we have to find the factors of both numbers and list the highest common factor.
The factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992
The factors of 8737 are 1, 8737
The HCF of 7992,8737 is 1.
Lets's calculate GCF of 7992,8737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7992,8737 By Matching Biggest Common Factor Method
Now, list down the factors of 7992
:1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992
Now, list down the factors of 8737
:1,8737
Greatest Common Factor
We found the factors 7992,8737 . The biggest common factor number is the GCF number.
So the greatest common factor 7992,8737 is 1.
Lets's calculate LCM of 739,408
Given numbers has no common factors except 1. So, there LCM is their product i.e 301512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301512
Therefore, the GCF of Fractions 7992/739,8737/408 is 1/301512
Least Common Multiple of 739,408 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 739,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,408) x common factors =1 x 1 = 1
LCM(739,408) = ( 739 × 408 ) / 1
LCM(739,408) = 301512 / 1
LCM(739,408) = 301512
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FAQs on GCF of Fractions of 7992/739, 8737/408
1. What is the HCF of 7992,8737?
The HCF of 7992,8737 is 1
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 7992/739, 8737/408?
Answer: GCF of Numerators as per given numbers 7992/739, 8737/408 is
GCF of Numerators i.e. for 7992,8737 is 1
LCM of denominators i.e. for 739,408 is 301512.
Thus, GCF of Fractions is 1/301512.Finally, GCF of Fractions for 7992/739, 8737/408 is 1/301512.