GCF of 4320/734, 9968/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4320/734, 9968/997 i.e 16/731798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4320/734, 9968/997.
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 4320/734,9968/997?
Given fractions are 4320/734,9968/997
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 4320/734,9968/997, numerators are 4320,9968
Denominators are 734,997
The GCF of 4320,9968 is 16 .
LCM of 734,997 is 731798.
The greatest common factor of 4320/734,9968/997 = [GCF of 4320,9968]/[LCM of 734,997]= 16/731798
Therefore, the GCF of 4320/734,9968/997 is 16/731798.
To find the highest common factor of 4320,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 4320,9968 is 16.
Lets's calculate GCF of 4320,9968
| 2 | 4320, 9968 |
| 2 | 2160, 4984 |
| 2 | 1080, 2492 |
| 2 | 540, 1246 |
| 270, 623 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4320,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 4320
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 4320,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 4320,9968 is 16.
Lets's calculate LCM of 734,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 731798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/731798
Therefore, the GCF of Fractions 4320/734,9968/997 is 16/731798
Least Common Multiple of 734,997 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 734,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,997) x common factors =1 x 1 = 1
LCM(734,997) = ( 734 × 997 ) / 1
LCM(734,997) = 731798 / 1
LCM(734,997) = 731798
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FAQs on GCF of Fractions of 4320/734, 9968/997
1. What is the HCF of 4320,9968?
The HCF of 4320,9968 is 16
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 4320/734, 9968/997?
Answer: GCF of Numerators as per given numbers 4320/734, 9968/997 is
GCF of Numerators i.e. for 4320,9968 is 16
LCM of denominators i.e. for 734,997 is 731798.
Thus, GCF of Fractions is 16/731798.Finally, GCF of Fractions for 4320/734, 9968/997 is 16/731798.