GCF of 5712/596, 4088/1548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5712/596, 4088/1548 i.e 56/230652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5712/596, 4088/1548.
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 5712/596,4088/1548?
Given fractions are 5712/596,4088/1548
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 5712/596,4088/1548, numerators are 5712,4088
Denominators are 596,1548
The GCF of 5712,4088 is 56 .
LCM of 596,1548 is 230652.
The greatest common factor of 5712/596,4088/1548 = [GCF of 5712,4088]/[LCM of 596,1548]= 56/230652
Therefore, the GCF of 5712/596,4088/1548 is 56/230652.
To find the highest common factor of 5712,4088, we have to find the factors of both numbers and list the highest common factor.
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
The factors of 4088 are 1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088
The HCF of 5712,4088 is 56.
Lets's calculate GCF of 5712,4088
| 2 | 5712, 4088 |
| 2 | 2856, 2044 |
| 2 | 1428, 1022 |
| 7 | 714, 511 |
| 102, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 5712,4088 By Matching Biggest Common Factor Method
Now, list down the factors of 5712
:1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Now, list down the factors of 4088
:1,2,4,7,8,14,28,56,73,146,292,511,584,1022,2044,4088
Greatest Common Factor
We found the factors 5712,4088 . The biggest common factor number is the GCF number.
So the greatest common factor 5712,4088 is 56.
Lets's calculate LCM of 596,1548
| 2 | 596, 1548 |
| 2 | 298, 774 |
| 149, 387 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 387 = 230652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/230652
Therefore, the GCF of Fractions 5712/596,4088/1548 is 56/230652
Least Common Multiple of 596,1548 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 596,1548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,1548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,1548) x common factors =4 x 1 = 4
LCM(596,1548) = ( 596 × 1548 ) / 4
LCM(596,1548) = 922608 / 4
LCM(596,1548) = 230652
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FAQs on GCF of Fractions of 5712/596, 4088/1548
1. What is the HCF of 5712,4088?
The HCF of 5712,4088 is 56
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 5712/596, 4088/1548?
Answer: GCF of Numerators as per given numbers 5712/596, 4088/1548 is
GCF of Numerators i.e. for 5712,4088 is 56
LCM of denominators i.e. for 596,1548 is 230652.
Thus, GCF of Fractions is 56/230652.Finally, GCF of Fractions for 5712/596, 4088/1548 is 56/230652.