GCF of 9934/172, 1924/9004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9934/172, 1924/9004 i.e 2/387172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9934/172, 1924/9004.
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 9934/172,1924/9004?
Given fractions are 9934/172,1924/9004
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 9934/172,1924/9004, numerators are 9934,1924
Denominators are 172,9004
The GCF of 9934,1924 is 2 .
LCM of 172,9004 is 387172.
The greatest common factor of 9934/172,1924/9004 = [GCF of 9934,1924]/[LCM of 172,9004]= 2/387172
Therefore, the GCF of 9934/172,1924/9004 is 2/387172.
To find the highest common factor of 9934,1924, we have to find the factors of both numbers and list the highest common factor.
The factors of 9934 are 1, 2, 4967, 9934
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The HCF of 9934,1924 is 2.
Lets's calculate GCF of 9934,1924
| 2 | 9934, 1924 |
| 4967, 962 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9934,1924 By Matching Biggest Common Factor Method
Now, list down the factors of 9934
:1,2,4967,9934
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Greatest Common Factor
We found the factors 9934,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 9934,1924 is 2.
Lets's calculate LCM of 172,9004
| 2 | 172, 9004 |
| 2 | 86, 4502 |
| 43, 2251 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 2251 = 387172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387172
Therefore, the GCF of Fractions 9934/172,1924/9004 is 2/387172
Least Common Multiple of 172,9004 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 172,9004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,9004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,9004) x common factors =4 x 1 = 4
LCM(172,9004) = ( 172 × 9004 ) / 4
LCM(172,9004) = 1548688 / 4
LCM(172,9004) = 387172
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FAQs on GCF of Fractions of 9934/172, 1924/9004
1. What is the HCF of 9934,1924?
The HCF of 9934,1924 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 9934/172, 1924/9004?
Answer: GCF of Numerators as per given numbers 9934/172, 1924/9004 is
GCF of Numerators i.e. for 9934,1924 is 2
LCM of denominators i.e. for 172,9004 is 387172.
Thus, GCF of Fractions is 2/387172.Finally, GCF of Fractions for 9934/172, 1924/9004 is 2/387172.