GCF of 9730/412, 4604/1433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9730/412, 4604/1433 i.e 2/590396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9730/412, 4604/1433.
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 9730/412,4604/1433?
Given fractions are 9730/412,4604/1433
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 9730/412,4604/1433, numerators are 9730,4604
Denominators are 412,1433
The GCF of 9730,4604 is 2 .
LCM of 412,1433 is 590396.
The greatest common factor of 9730/412,4604/1433 = [GCF of 9730,4604]/[LCM of 412,1433]= 2/590396
Therefore, the GCF of 9730/412,4604/1433 is 2/590396.
To find the highest common factor of 9730,4604, we have to find the factors of both numbers and list the highest common factor.
The factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730
The factors of 4604 are 1, 2, 4, 1151, 2302, 4604
The HCF of 9730,4604 is 2.
Lets's calculate GCF of 9730,4604
| 2 | 9730, 4604 |
| 4865, 2302 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9730,4604 By Matching Biggest Common Factor Method
Now, list down the factors of 9730
:1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730
Now, list down the factors of 4604
:1,2,4,1151,2302,4604
Greatest Common Factor
We found the factors 9730,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 9730,4604 is 2.
Lets's calculate LCM of 412,1433
Given numbers has no common factors except 1. So, there LCM is their product i.e 590396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/590396
Therefore, the GCF of Fractions 9730/412,4604/1433 is 2/590396
Least Common Multiple of 412,1433 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 412,1433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,1433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,1433) x common factors =1 x 1 = 1
LCM(412,1433) = ( 412 × 1433 ) / 1
LCM(412,1433) = 590396 / 1
LCM(412,1433) = 590396
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FAQs on GCF of Fractions of 9730/412, 4604/1433
1. What is the HCF of 9730,4604?
The HCF of 9730,4604 is 2
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 9730/412, 4604/1433?
Answer: GCF of Numerators as per given numbers 9730/412, 4604/1433 is
GCF of Numerators i.e. for 9730,4604 is 2
LCM of denominators i.e. for 412,1433 is 590396.
Thus, GCF of Fractions is 2/590396.Finally, GCF of Fractions for 9730/412, 4604/1433 is 2/590396.