GCF of 9315/219, 7378/4068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9315/219, 7378/4068 i.e 1/296964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9315/219, 7378/4068.
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 9315/219,7378/4068?
Given fractions are 9315/219,7378/4068
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 9315/219,7378/4068, numerators are 9315,7378
Denominators are 219,4068
The GCF of 9315,7378 is 1 .
LCM of 219,4068 is 296964.
The greatest common factor of 9315/219,7378/4068 = [GCF of 9315,7378]/[LCM of 219,4068]= 1/296964
Therefore, the GCF of 9315/219,7378/4068 is 1/296964.
To find the highest common factor of 9315,7378, we have to find the factors of both numbers and list the highest common factor.
The factors of 9315 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315
The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
The HCF of 9315,7378 is 1.
Lets's calculate GCF of 9315,7378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9315,7378 By Matching Biggest Common Factor Method
Now, list down the factors of 9315
:1,3,5,9,15,23,27,45,69,81,115,135,207,345,405,621,1035,1863,3105,9315
Now, list down the factors of 7378
:1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Greatest Common Factor
We found the factors 9315,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 9315,7378 is 1.
Lets's calculate LCM of 219,4068
| 3 | 219, 4068 |
| 73, 1356 |
∴ So the LCM of the given numbers is 3 x 73 x 1356 = 296964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296964
Therefore, the GCF of Fractions 9315/219,7378/4068 is 1/296964
Least Common Multiple of 219,4068 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 219,4068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,4068) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,4068) x common factors =3 x 1 = 3
LCM(219,4068) = ( 219 × 4068 ) / 3
LCM(219,4068) = 890892 / 3
LCM(219,4068) = 296964
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FAQs on GCF of Fractions of 9315/219, 7378/4068
1. What is the HCF of 9315,7378?
The HCF of 9315,7378 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 9315/219, 7378/4068?
Answer: GCF of Numerators as per given numbers 9315/219, 7378/4068 is
GCF of Numerators i.e. for 9315,7378 is 1
LCM of denominators i.e. for 219,4068 is 296964.
Thus, GCF of Fractions is 1/296964.Finally, GCF of Fractions for 9315/219, 7378/4068 is 1/296964.