GCF of 5934/168, 1953/4652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5934/168, 1953/4652 i.e 3/195384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5934/168, 1953/4652.
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 5934/168,1953/4652?
Given fractions are 5934/168,1953/4652
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 5934/168,1953/4652, numerators are 5934,1953
Denominators are 168,4652
The GCF of 5934,1953 is 3 .
LCM of 168,4652 is 195384.
The greatest common factor of 5934/168,1953/4652 = [GCF of 5934,1953]/[LCM of 168,4652]= 3/195384
Therefore, the GCF of 5934/168,1953/4652 is 3/195384.
To find the highest common factor of 5934,1953, we have to find the factors of both numbers and list the highest common factor.
The factors of 5934 are 1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934
The factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953
The HCF of 5934,1953 is 3.
Lets's calculate GCF of 5934,1953
| 3 | 5934, 1953 |
| 1978, 651 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5934,1953 By Matching Biggest Common Factor Method
Now, list down the factors of 5934
:1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934
Now, list down the factors of 1953
:1,3,7,9,21,31,63,93,217,279,651,1953
Greatest Common Factor
We found the factors 5934,1953 . The biggest common factor number is the GCF number.
So the greatest common factor 5934,1953 is 3.
Lets's calculate LCM of 168,4652
| 2 | 168, 4652 |
| 2 | 84, 2326 |
| 42, 1163 |
∴ So the LCM of the given numbers is 2 x 2 x 42 x 1163 = 195384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/195384
Therefore, the GCF of Fractions 5934/168,1953/4652 is 3/195384
Least Common Multiple of 168,4652 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 168,4652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,4652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(168,4652) x common factors =4 x 1 = 4
LCM(168,4652) = ( 168 × 4652 ) / 4
LCM(168,4652) = 781536 / 4
LCM(168,4652) = 195384
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FAQs on GCF of Fractions of 5934/168, 1953/4652
1. What is the HCF of 5934,1953?
The HCF of 5934,1953 is 3
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 5934/168, 1953/4652?
Answer: GCF of Numerators as per given numbers 5934/168, 1953/4652 is
GCF of Numerators i.e. for 5934,1953 is 3
LCM of denominators i.e. for 168,4652 is 195384.
Thus, GCF of Fractions is 3/195384.Finally, GCF of Fractions for 5934/168, 1953/4652 is 3/195384.