GCF of 3221/363, 8784/8429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3221/363, 8784/8429 i.e 1/3059727 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3221/363, 8784/8429.
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 3221/363,8784/8429?
Given fractions are 3221/363,8784/8429
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 3221/363,8784/8429, numerators are 3221,8784
Denominators are 363,8429
The GCF of 3221,8784 is 1 .
LCM of 363,8429 is 3059727.
The greatest common factor of 3221/363,8784/8429 = [GCF of 3221,8784]/[LCM of 363,8429]= 1/3059727
Therefore, the GCF of 3221/363,8784/8429 is 1/3059727.
To find the highest common factor of 3221,8784, we have to find the factors of both numbers and list the highest common factor.
The factors of 3221 are 1, 3221
The factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784
The HCF of 3221,8784 is 1.
Lets's calculate GCF of 3221,8784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3221,8784 By Matching Biggest Common Factor Method
Now, list down the factors of 3221
:1,3221
Now, list down the factors of 8784
:1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784
Greatest Common Factor
We found the factors 3221,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 3221,8784 is 1.
Lets's calculate LCM of 363,8429
Given numbers has no common factors except 1. So, there LCM is their product i.e 3059727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3059727
Therefore, the GCF of Fractions 3221/363,8784/8429 is 1/3059727
Least Common Multiple of 363,8429 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 363,8429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,8429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,8429) x common factors =1 x 1 = 1
LCM(363,8429) = ( 363 × 8429 ) / 1
LCM(363,8429) = 3059727 / 1
LCM(363,8429) = 3059727
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FAQs on GCF of Fractions of 3221/363, 8784/8429
1. What is the HCF of 3221,8784?
The HCF of 3221,8784 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 3221/363, 8784/8429?
Answer: GCF of Numerators as per given numbers 3221/363, 8784/8429 is
GCF of Numerators i.e. for 3221,8784 is 1
LCM of denominators i.e. for 363,8429 is 3059727.
Thus, GCF of Fractions is 1/3059727.Finally, GCF of Fractions for 3221/363, 8784/8429 is 1/3059727.