GCF of 8056/162, 6288/3872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8056/162, 6288/3872 i.e 8/313632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8056/162, 6288/3872.
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 8056/162,6288/3872?
Given fractions are 8056/162,6288/3872
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 8056/162,6288/3872, numerators are 8056,6288
Denominators are 162,3872
The GCF of 8056,6288 is 8 .
LCM of 162,3872 is 313632.
The greatest common factor of 8056/162,6288/3872 = [GCF of 8056,6288]/[LCM of 162,3872]= 8/313632
Therefore, the GCF of 8056/162,6288/3872 is 8/313632.
To find the highest common factor of 8056,6288, we have to find the factors of both numbers and list the highest common factor.
The factors of 8056 are 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056
The factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288
The HCF of 8056,6288 is 8.
Lets's calculate GCF of 8056,6288
| 2 | 8056, 6288 |
| 2 | 4028, 3144 |
| 2 | 2014, 1572 |
| 1007, 786 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8056,6288 By Matching Biggest Common Factor Method
Now, list down the factors of 8056
:1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056
Now, list down the factors of 6288
:1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Greatest Common Factor
We found the factors 8056,6288 . The biggest common factor number is the GCF number.
So the greatest common factor 8056,6288 is 8.
Lets's calculate LCM of 162,3872
| 2 | 162, 3872 |
| 81, 1936 |
∴ So the LCM of the given numbers is 2 x 81 x 1936 = 313632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/313632
Therefore, the GCF of Fractions 8056/162,6288/3872 is 8/313632
Least Common Multiple of 162,3872 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 162,3872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,3872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,3872) x common factors =2 x 1 = 2
LCM(162,3872) = ( 162 × 3872 ) / 2
LCM(162,3872) = 627264 / 2
LCM(162,3872) = 313632
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FAQs on GCF of Fractions of 8056/162, 6288/3872
1. What is the HCF of 8056,6288?
The HCF of 8056,6288 is 8
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 8056/162, 6288/3872?
Answer: GCF of Numerators as per given numbers 8056/162, 6288/3872 is
GCF of Numerators i.e. for 8056,6288 is 8
LCM of denominators i.e. for 162,3872 is 313632.
Thus, GCF of Fractions is 8/313632.Finally, GCF of Fractions for 8056/162, 6288/3872 is 8/313632.