GCF of 3008/968, 9904/5380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3008/968, 9904/5380 i.e 16/1301960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3008/968, 9904/5380.
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 3008/968,9904/5380?
Given fractions are 3008/968,9904/5380
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 3008/968,9904/5380, numerators are 3008,9904
Denominators are 968,5380
The GCF of 3008,9904 is 16 .
LCM of 968,5380 is 1301960.
The greatest common factor of 3008/968,9904/5380 = [GCF of 3008,9904]/[LCM of 968,5380]= 16/1301960
Therefore, the GCF of 3008/968,9904/5380 is 16/1301960.
To find the highest common factor of 3008,9904, we have to find the factors of both numbers and list the highest common factor.
The factors of 3008 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008
The factors of 9904 are 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904
The HCF of 3008,9904 is 16.
Lets's calculate GCF of 3008,9904
| 2 | 3008, 9904 |
| 2 | 1504, 4952 |
| 2 | 752, 2476 |
| 2 | 376, 1238 |
| 188, 619 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3008,9904 By Matching Biggest Common Factor Method
Now, list down the factors of 3008
:1,2,4,8,16,32,47,64,94,188,376,752,1504,3008
Now, list down the factors of 9904
:1,2,4,8,16,619,1238,2476,4952,9904
Greatest Common Factor
We found the factors 3008,9904 . The biggest common factor number is the GCF number.
So the greatest common factor 3008,9904 is 16.
Lets's calculate LCM of 968,5380
| 2 | 968, 5380 |
| 2 | 484, 2690 |
| 242, 1345 |
∴ So the LCM of the given numbers is 2 x 2 x 242 x 1345 = 1301960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1301960
Therefore, the GCF of Fractions 3008/968,9904/5380 is 16/1301960
Least Common Multiple of 968,5380 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 968,5380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,5380) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(968,5380) x common factors =4 x 1 = 4
LCM(968,5380) = ( 968 × 5380 ) / 4
LCM(968,5380) = 5207840 / 4
LCM(968,5380) = 1301960
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FAQs on GCF of Fractions of 3008/968, 9904/5380
1. What is the HCF of 3008,9904?
The HCF of 3008,9904 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 3008/968, 9904/5380?
Answer: GCF of Numerators as per given numbers 3008/968, 9904/5380 is
GCF of Numerators i.e. for 3008,9904 is 16
LCM of denominators i.e. for 968,5380 is 1301960.
Thus, GCF of Fractions is 16/1301960.Finally, GCF of Fractions for 3008/968, 9904/5380 is 16/1301960.