GCF of 8016/688, 3948/9075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8016/688, 3948/9075 i.e 12/6243600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8016/688, 3948/9075.
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 8016/688,3948/9075?
Given fractions are 8016/688,3948/9075
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 8016/688,3948/9075, numerators are 8016,3948
Denominators are 688,9075
The GCF of 8016,3948 is 12 .
LCM of 688,9075 is 6243600.
The greatest common factor of 8016/688,3948/9075 = [GCF of 8016,3948]/[LCM of 688,9075]= 12/6243600
Therefore, the GCF of 8016/688,3948/9075 is 12/6243600.
To find the highest common factor of 8016,3948, we have to find the factors of both numbers and list the highest common factor.
The factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016
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 HCF of 8016,3948 is 12.
Lets's calculate GCF of 8016,3948
| 2 | 8016, 3948 |
| 2 | 4008, 1974 |
| 3 | 2004, 987 |
| 668, 329 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8016,3948 By Matching Biggest Common Factor Method
Now, list down the factors of 8016
:1,2,3,4,6,8,12,16,24,48,167,334,501,668,1002,1336,2004,2672,4008,8016
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
Greatest Common Factor
We found the factors 8016,3948 . The biggest common factor number is the GCF number.
So the greatest common factor 8016,3948 is 12.
Lets's calculate LCM of 688,9075
Given numbers has no common factors except 1. So, there LCM is their product i.e 6243600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/6243600
Therefore, the GCF of Fractions 8016/688,3948/9075 is 12/6243600
Least Common Multiple of 688,9075 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 688,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,9075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,9075) x common factors =1 x 1 = 1
LCM(688,9075) = ( 688 × 9075 ) / 1
LCM(688,9075) = 6243600 / 1
LCM(688,9075) = 6243600
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FAQs on GCF of Fractions of 8016/688, 3948/9075
1. What is the HCF of 8016,3948?
The HCF of 8016,3948 is 12
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 8016/688, 3948/9075?
Answer: GCF of Numerators as per given numbers 8016/688, 3948/9075 is
GCF of Numerators i.e. for 8016,3948 is 12
LCM of denominators i.e. for 688,9075 is 6243600.
Thus, GCF of Fractions is 12/6243600.Finally, GCF of Fractions for 8016/688, 3948/9075 is 12/6243600.