GCF of 5892/164, 4188/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5892/164, 4188/317 i.e 12/51988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5892/164, 4188/317.
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 5892/164,4188/317?
Given fractions are 5892/164,4188/317
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 5892/164,4188/317, numerators are 5892,4188
Denominators are 164,317
The GCF of 5892,4188 is 12 .
LCM of 164,317 is 51988.
The greatest common factor of 5892/164,4188/317 = [GCF of 5892,4188]/[LCM of 164,317]= 12/51988
Therefore, the GCF of 5892/164,4188/317 is 12/51988.
To find the highest common factor of 5892,4188, we have to find the factors of both numbers and list the highest common factor.
The factors of 5892 are 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892
The factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188
The HCF of 5892,4188 is 12.
Lets's calculate GCF of 5892,4188
| 2 | 5892, 4188 |
| 2 | 2946, 2094 |
| 3 | 1473, 1047 |
| 491, 349 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5892,4188 By Matching Biggest Common Factor Method
Now, list down the factors of 5892
:1,2,3,4,6,12,491,982,1473,1964,2946,5892
Now, list down the factors of 4188
:1,2,3,4,6,12,349,698,1047,1396,2094,4188
Greatest Common Factor
We found the factors 5892,4188 . The biggest common factor number is the GCF number.
So the greatest common factor 5892,4188 is 12.
Lets's calculate LCM of 164,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 51988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/51988
Therefore, the GCF of Fractions 5892/164,4188/317 is 12/51988
Least Common Multiple of 164,317 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 164,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,317) x common factors =1 x 1 = 1
LCM(164,317) = ( 164 × 317 ) / 1
LCM(164,317) = 51988 / 1
LCM(164,317) = 51988
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FAQs on GCF of Fractions of 5892/164, 4188/317
1. What is the HCF of 5892,4188?
The HCF of 5892,4188 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 5892/164, 4188/317?
Answer: GCF of Numerators as per given numbers 5892/164, 4188/317 is
GCF of Numerators i.e. for 5892,4188 is 12
LCM of denominators i.e. for 164,317 is 51988.
Thus, GCF of Fractions is 12/51988.Finally, GCF of Fractions for 5892/164, 4188/317 is 12/51988.