GCF of 9210/324, 1489/5278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9210/324, 1489/5278 i.e 1/855036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9210/324, 1489/5278.
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 9210/324,1489/5278?
Given fractions are 9210/324,1489/5278
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 9210/324,1489/5278, numerators are 9210,1489
Denominators are 324,5278
The GCF of 9210,1489 is 1 .
LCM of 324,5278 is 855036.
The greatest common factor of 9210/324,1489/5278 = [GCF of 9210,1489]/[LCM of 324,5278]= 1/855036
Therefore, the GCF of 9210/324,1489/5278 is 1/855036.
To find the highest common factor of 9210,1489, we have to find the factors of both numbers and list the highest common factor.
The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210
The factors of 1489 are 1, 1489
The HCF of 9210,1489 is 1.
Lets's calculate GCF of 9210,1489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9210,1489 By Matching Biggest Common Factor Method
Now, list down the factors of 9210
:1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Now, list down the factors of 1489
:1,1489
Greatest Common Factor
We found the factors 9210,1489 . The biggest common factor number is the GCF number.
So the greatest common factor 9210,1489 is 1.
Lets's calculate LCM of 324,5278
| 2 | 324, 5278 |
| 162, 2639 |
∴ So the LCM of the given numbers is 2 x 162 x 2639 = 855036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/855036
Therefore, the GCF of Fractions 9210/324,1489/5278 is 1/855036
Least Common Multiple of 324,5278 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 324,5278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,5278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,5278) x common factors =2 x 1 = 2
LCM(324,5278) = ( 324 × 5278 ) / 2
LCM(324,5278) = 1710072 / 2
LCM(324,5278) = 855036
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FAQs on GCF of Fractions of 9210/324, 1489/5278
1. What is the HCF of 9210,1489?
The HCF of 9210,1489 is 1
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 9210/324, 1489/5278?
Answer: GCF of Numerators as per given numbers 9210/324, 1489/5278 is
GCF of Numerators i.e. for 9210,1489 is 1
LCM of denominators i.e. for 324,5278 is 855036.
Thus, GCF of Fractions is 1/855036.Finally, GCF of Fractions for 9210/324, 1489/5278 is 1/855036.