GCF of 9213/214, 9310/3024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9213/214, 9310/3024 i.e 1/323568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9213/214, 9310/3024.
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 9213/214,9310/3024?
Given fractions are 9213/214,9310/3024
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 9213/214,9310/3024, numerators are 9213,9310
Denominators are 214,3024
The GCF of 9213,9310 is 1 .
LCM of 214,3024 is 323568.
The greatest common factor of 9213/214,9310/3024 = [GCF of 9213,9310]/[LCM of 214,3024]= 1/323568
Therefore, the GCF of 9213/214,9310/3024 is 1/323568.
To find the highest common factor of 9213,9310, we have to find the factors of both numbers and list the highest common factor.
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310
The HCF of 9213,9310 is 1.
Lets's calculate GCF of 9213,9310
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9213,9310 By Matching Biggest Common Factor Method
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Now, list down the factors of 9310
:1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310
Greatest Common Factor
We found the factors 9213,9310 . The biggest common factor number is the GCF number.
So the greatest common factor 9213,9310 is 1.
Lets's calculate LCM of 214,3024
| 2 | 214, 3024 |
| 107, 1512 |
∴ So the LCM of the given numbers is 2 x 107 x 1512 = 323568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323568
Therefore, the GCF of Fractions 9213/214,9310/3024 is 1/323568
Least Common Multiple of 214,3024 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 214,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,3024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,3024) x common factors =2 x 1 = 2
LCM(214,3024) = ( 214 × 3024 ) / 2
LCM(214,3024) = 647136 / 2
LCM(214,3024) = 323568
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FAQs on GCF of Fractions of 9213/214, 9310/3024
1. What is the HCF of 9213,9310?
The HCF of 9213,9310 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 9213/214, 9310/3024?
Answer: GCF of Numerators as per given numbers 9213/214, 9310/3024 is
GCF of Numerators i.e. for 9213,9310 is 1
LCM of denominators i.e. for 214,3024 is 323568.
Thus, GCF of Fractions is 1/323568.Finally, GCF of Fractions for 9213/214, 9310/3024 is 1/323568.