GCF of 8321/273, 9408/2160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8321/273, 9408/2160 i.e 1/196560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8321/273, 9408/2160.
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 8321/273,9408/2160?
Given fractions are 8321/273,9408/2160
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 8321/273,9408/2160, numerators are 8321,9408
Denominators are 273,2160
The GCF of 8321,9408 is 1 .
LCM of 273,2160 is 196560.
The greatest common factor of 8321/273,9408/2160 = [GCF of 8321,9408]/[LCM of 273,2160]= 1/196560
Therefore, the GCF of 8321/273,9408/2160 is 1/196560.
To find the highest common factor of 8321,9408, we have to find the factors of both numbers and list the highest common factor.
The factors of 8321 are 1, 53, 157, 8321
The factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408
The HCF of 8321,9408 is 1.
Lets's calculate GCF of 8321,9408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8321,9408 By Matching Biggest Common Factor Method
Now, list down the factors of 8321
:1,53,157,8321
Now, list down the factors of 9408
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Greatest Common Factor
We found the factors 8321,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 8321,9408 is 1.
Lets's calculate LCM of 273,2160
| 3 | 273, 2160 |
| 91, 720 |
∴ So the LCM of the given numbers is 3 x 91 x 720 = 196560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196560
Therefore, the GCF of Fractions 8321/273,9408/2160 is 1/196560
Least Common Multiple of 273,2160 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 273,2160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,2160) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,2160) x common factors =3 x 1 = 3
LCM(273,2160) = ( 273 × 2160 ) / 3
LCM(273,2160) = 589680 / 3
LCM(273,2160) = 196560
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FAQs on GCF of Fractions of 8321/273, 9408/2160
1. What is the HCF of 8321,9408?
The HCF of 8321,9408 is 1
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 8321/273, 9408/2160?
Answer: GCF of Numerators as per given numbers 8321/273, 9408/2160 is
GCF of Numerators i.e. for 8321,9408 is 1
LCM of denominators i.e. for 273,2160 is 196560.
Thus, GCF of Fractions is 1/196560.Finally, GCF of Fractions for 8321/273, 9408/2160 is 1/196560.