GCF of 3948/115, 6016/7003
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3948/115, 6016/7003 i.e 188/805345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3948/115, 6016/7003.
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 3948/115,6016/7003?
Given fractions are 3948/115,6016/7003
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 3948/115,6016/7003, numerators are 3948,6016
Denominators are 115,7003
The GCF of 3948,6016 is 188 .
LCM of 115,7003 is 805345.
The greatest common factor of 3948/115,6016/7003 = [GCF of 3948,6016]/[LCM of 115,7003]= 188/805345
Therefore, the GCF of 3948/115,6016/7003 is 188/805345.
To find the highest common factor of 3948,6016, we have to find the factors of both numbers and list the highest common factor.
The factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948
The factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016
The HCF of 3948,6016 is 188.
Lets's calculate GCF of 3948,6016
| 2 | 3948, 6016 |
| 2 | 1974, 3008 |
| 47 | 987, 1504 |
| 21, 32 |
∴ So the GCF of the given numbers is 2 x 2 x 47 = 188
Greatest Common Factor of 3948,6016 By Matching Biggest Common Factor Method
Now, list down the factors of 3948
:1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Now, list down the factors of 6016
:1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016
Greatest Common Factor
We found the factors 3948,6016 . The biggest common factor number is the GCF number.
So the greatest common factor 3948,6016 is 188.
Lets's calculate LCM of 115,7003
Given numbers has no common factors except 1. So, there LCM is their product i.e 805345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 188/805345
Therefore, the GCF of Fractions 3948/115,6016/7003 is 188/805345
Least Common Multiple of 115,7003 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 115,7003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,7003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,7003) x common factors =1 x 1 = 1
LCM(115,7003) = ( 115 × 7003 ) / 1
LCM(115,7003) = 805345 / 1
LCM(115,7003) = 805345
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FAQs on GCF of Fractions of 3948/115, 6016/7003
1. What is the HCF of 3948,6016?
The HCF of 3948,6016 is 188
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 3948/115, 6016/7003?
Answer: GCF of Numerators as per given numbers 3948/115, 6016/7003 is
GCF of Numerators i.e. for 3948,6016 is 188
LCM of denominators i.e. for 115,7003 is 805345.
Thus, GCF of Fractions is 188/805345.Finally, GCF of Fractions for 3948/115, 6016/7003 is 188/805345.