GCF of 9994/164, 4704/588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9994/164, 4704/588 i.e 2/24108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9994/164, 4704/588.
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 9994/164,4704/588?
Given fractions are 9994/164,4704/588
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 9994/164,4704/588, numerators are 9994,4704
Denominators are 164,588
The GCF of 9994,4704 is 2 .
LCM of 164,588 is 24108.
The greatest common factor of 9994/164,4704/588 = [GCF of 9994,4704]/[LCM of 164,588]= 2/24108
Therefore, the GCF of 9994/164,4704/588 is 2/24108.
To find the highest common factor of 9994,4704, we have to find the factors of both numbers and list the highest common factor.
The factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994
The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704
The HCF of 9994,4704 is 2.
Lets's calculate GCF of 9994,4704
| 2 | 9994, 4704 |
| 4997, 2352 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9994,4704 By Matching Biggest Common Factor Method
Now, list down the factors of 9994
:1,2,19,38,263,526,4997,9994
Now, list down the factors of 4704
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Greatest Common Factor
We found the factors 9994,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 9994,4704 is 2.
Lets's calculate LCM of 164,588
| 2 | 164, 588 |
| 2 | 82, 294 |
| 41, 147 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 147 = 24108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24108
Therefore, the GCF of Fractions 9994/164,4704/588 is 2/24108
Least Common Multiple of 164,588 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 164,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,588) x common factors =4 x 1 = 4
LCM(164,588) = ( 164 × 588 ) / 4
LCM(164,588) = 96432 / 4
LCM(164,588) = 24108
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FAQs on GCF of Fractions of 9994/164, 4704/588
1. What is the HCF of 9994,4704?
The HCF of 9994,4704 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 9994/164, 4704/588?
Answer: GCF of Numerators as per given numbers 9994/164, 4704/588 is
GCF of Numerators i.e. for 9994,4704 is 2
LCM of denominators i.e. for 164,588 is 24108.
Thus, GCF of Fractions is 2/24108.Finally, GCF of Fractions for 9994/164, 4704/588 is 2/24108.