GCF of 5211/180, 4092/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5211/180, 4092/307 i.e 3/55260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5211/180, 4092/307.
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 5211/180,4092/307?
Given fractions are 5211/180,4092/307
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 5211/180,4092/307, numerators are 5211,4092
Denominators are 180,307
The GCF of 5211,4092 is 3 .
LCM of 180,307 is 55260.
The greatest common factor of 5211/180,4092/307 = [GCF of 5211,4092]/[LCM of 180,307]= 3/55260
Therefore, the GCF of 5211/180,4092/307 is 3/55260.
To find the highest common factor of 5211,4092, we have to find the factors of both numbers and list the highest common factor.
The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The HCF of 5211,4092 is 3.
Lets's calculate GCF of 5211,4092
| 3 | 5211, 4092 |
| 1737, 1364 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5211,4092 By Matching Biggest Common Factor Method
Now, list down the factors of 5211
:1,3,9,27,193,579,1737,5211
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Greatest Common Factor
We found the factors 5211,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 5211,4092 is 3.
Lets's calculate LCM of 180,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 55260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55260
Therefore, the GCF of Fractions 5211/180,4092/307 is 3/55260
Least Common Multiple of 180,307 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 180,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,307) x common factors =1 x 1 = 1
LCM(180,307) = ( 180 × 307 ) / 1
LCM(180,307) = 55260 / 1
LCM(180,307) = 55260
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FAQs on GCF of Fractions of 5211/180, 4092/307
1. What is the HCF of 5211,4092?
The HCF of 5211,4092 is 3
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 5211/180, 4092/307?
Answer: GCF of Numerators as per given numbers 5211/180, 4092/307 is
GCF of Numerators i.e. for 5211,4092 is 3
LCM of denominators i.e. for 180,307 is 55260.
Thus, GCF of Fractions is 3/55260.Finally, GCF of Fractions for 5211/180, 4092/307 is 3/55260.