GCF of 8088/592, 3164/6396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8088/592, 3164/6396 i.e 4/946608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8088/592, 3164/6396.
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 8088/592,3164/6396?
Given fractions are 8088/592,3164/6396
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 8088/592,3164/6396, numerators are 8088,3164
Denominators are 592,6396
The GCF of 8088,3164 is 4 .
LCM of 592,6396 is 946608.
The greatest common factor of 8088/592,3164/6396 = [GCF of 8088,3164]/[LCM of 592,6396]= 4/946608
Therefore, the GCF of 8088/592,3164/6396 is 4/946608.
To find the highest common factor of 8088,3164, we have to find the factors of both numbers and list the highest common factor.
The factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088
The factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164
The HCF of 8088,3164 is 4.
Lets's calculate GCF of 8088,3164
| 2 | 8088, 3164 |
| 2 | 4044, 1582 |
| 2022, 791 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8088,3164 By Matching Biggest Common Factor Method
Now, list down the factors of 8088
:1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Now, list down the factors of 3164
:1,2,4,7,14,28,113,226,452,791,1582,3164
Greatest Common Factor
We found the factors 8088,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 8088,3164 is 4.
Lets's calculate LCM of 592,6396
| 2 | 592, 6396 |
| 2 | 296, 3198 |
| 148, 1599 |
∴ So the LCM of the given numbers is 2 x 2 x 148 x 1599 = 946608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/946608
Therefore, the GCF of Fractions 8088/592,3164/6396 is 4/946608
Least Common Multiple of 592,6396 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 592,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,6396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(592,6396) x common factors =4 x 1 = 4
LCM(592,6396) = ( 592 × 6396 ) / 4
LCM(592,6396) = 3786432 / 4
LCM(592,6396) = 946608
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FAQs on GCF of Fractions of 8088/592, 3164/6396
1. What is the HCF of 8088,3164?
The HCF of 8088,3164 is 4
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 8088/592, 3164/6396?
Answer: GCF of Numerators as per given numbers 8088/592, 3164/6396 is
GCF of Numerators i.e. for 8088,3164 is 4
LCM of denominators i.e. for 592,6396 is 946608.
Thus, GCF of Fractions is 4/946608.Finally, GCF of Fractions for 8088/592, 3164/6396 is 4/946608.