GCF of 5547/306, 4092/7576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5547/306, 4092/7576 i.e 3/1159128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5547/306, 4092/7576.
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 5547/306,4092/7576?
Given fractions are 5547/306,4092/7576
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 5547/306,4092/7576, numerators are 5547,4092
Denominators are 306,7576
The GCF of 5547,4092 is 3 .
LCM of 306,7576 is 1159128.
The greatest common factor of 5547/306,4092/7576 = [GCF of 5547,4092]/[LCM of 306,7576]= 3/1159128
Therefore, the GCF of 5547/306,4092/7576 is 3/1159128.
To find the highest common factor of 5547,4092, we have to find the factors of both numbers and list the highest common factor.
The factors of 5547 are 1, 3, 43, 129, 1849, 5547
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 5547,4092 is 3.
Lets's calculate GCF of 5547,4092
| 3 | 5547, 4092 |
| 1849, 1364 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5547,4092 By Matching Biggest Common Factor Method
Now, list down the factors of 5547
:1,3,43,129,1849,5547
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 5547,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 5547,4092 is 3.
Lets's calculate LCM of 306,7576
| 2 | 306, 7576 |
| 153, 3788 |
∴ So the LCM of the given numbers is 2 x 153 x 3788 = 1159128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1159128
Therefore, the GCF of Fractions 5547/306,4092/7576 is 3/1159128
Least Common Multiple of 306,7576 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 306,7576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,7576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,7576) x common factors =2 x 1 = 2
LCM(306,7576) = ( 306 × 7576 ) / 2
LCM(306,7576) = 2318256 / 2
LCM(306,7576) = 1159128
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FAQs on GCF of Fractions of 5547/306, 4092/7576
1. What is the HCF of 5547,4092?
The HCF of 5547,4092 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 5547/306, 4092/7576?
Answer: GCF of Numerators as per given numbers 5547/306, 4092/7576 is
GCF of Numerators i.e. for 5547,4092 is 3
LCM of denominators i.e. for 306,7576 is 1159128.
Thus, GCF of Fractions is 3/1159128.Finally, GCF of Fractions for 5547/306, 4092/7576 is 3/1159128.