GCF of 9234/470, 2434/3784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9234/470, 2434/3784 i.e 2/889240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9234/470, 2434/3784.
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 9234/470,2434/3784?
Given fractions are 9234/470,2434/3784
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 9234/470,2434/3784, numerators are 9234,2434
Denominators are 470,3784
The GCF of 9234,2434 is 2 .
LCM of 470,3784 is 889240.
The greatest common factor of 9234/470,2434/3784 = [GCF of 9234,2434]/[LCM of 470,3784]= 2/889240
Therefore, the GCF of 9234/470,2434/3784 is 2/889240.
To find the highest common factor of 9234,2434, we have to find the factors of both numbers and list the highest common factor.
The factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234
The factors of 2434 are 1, 2, 1217, 2434
The HCF of 9234,2434 is 2.
Lets's calculate GCF of 9234,2434
| 2 | 9234, 2434 |
| 4617, 1217 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9234,2434 By Matching Biggest Common Factor Method
Now, list down the factors of 9234
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Now, list down the factors of 2434
:1,2,1217,2434
Greatest Common Factor
We found the factors 9234,2434 . The biggest common factor number is the GCF number.
So the greatest common factor 9234,2434 is 2.
Lets's calculate LCM of 470,3784
| 2 | 470, 3784 |
| 235, 1892 |
∴ So the LCM of the given numbers is 2 x 235 x 1892 = 889240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/889240
Therefore, the GCF of Fractions 9234/470,2434/3784 is 2/889240
Least Common Multiple of 470,3784 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 470,3784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,3784) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,3784) x common factors =2 x 1 = 2
LCM(470,3784) = ( 470 × 3784 ) / 2
LCM(470,3784) = 1778480 / 2
LCM(470,3784) = 889240
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FAQs on GCF of Fractions of 9234/470, 2434/3784
1. What is the HCF of 9234,2434?
The HCF of 9234,2434 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 9234/470, 2434/3784?
Answer: GCF of Numerators as per given numbers 9234/470, 2434/3784 is
GCF of Numerators i.e. for 9234,2434 is 2
LCM of denominators i.e. for 470,3784 is 889240.
Thus, GCF of Fractions is 2/889240.Finally, GCF of Fractions for 9234/470, 2434/3784 is 2/889240.