GCF of 8820/589, 4217/1299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8820/589, 4217/1299 i.e 1/765111 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8820/589, 4217/1299.
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 8820/589,4217/1299?
Given fractions are 8820/589,4217/1299
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 8820/589,4217/1299, numerators are 8820,4217
Denominators are 589,1299
The GCF of 8820,4217 is 1 .
LCM of 589,1299 is 765111.
The greatest common factor of 8820/589,4217/1299 = [GCF of 8820,4217]/[LCM of 589,1299]= 1/765111
Therefore, the GCF of 8820/589,4217/1299 is 1/765111.
To find the highest common factor of 8820,4217, we have to find the factors of both numbers and list the highest common factor.
The factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820
The factors of 4217 are 1, 4217
The HCF of 8820,4217 is 1.
Lets's calculate GCF of 8820,4217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8820,4217 By Matching Biggest Common Factor Method
Now, list down the factors of 8820
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Now, list down the factors of 4217
:1,4217
Greatest Common Factor
We found the factors 8820,4217 . The biggest common factor number is the GCF number.
So the greatest common factor 8820,4217 is 1.
Lets's calculate LCM of 589,1299
Given numbers has no common factors except 1. So, there LCM is their product i.e 765111
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/765111
Therefore, the GCF of Fractions 8820/589,4217/1299 is 1/765111
Least Common Multiple of 589,1299 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 589,1299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,1299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,1299) x common factors =1 x 1 = 1
LCM(589,1299) = ( 589 × 1299 ) / 1
LCM(589,1299) = 765111 / 1
LCM(589,1299) = 765111
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FAQs on GCF of Fractions of 8820/589, 4217/1299
1. What is the HCF of 8820,4217?
The HCF of 8820,4217 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 8820/589, 4217/1299?
Answer: GCF of Numerators as per given numbers 8820/589, 4217/1299 is
GCF of Numerators i.e. for 8820,4217 is 1
LCM of denominators i.e. for 589,1299 is 765111.
Thus, GCF of Fractions is 1/765111.Finally, GCF of Fractions for 8820/589, 4217/1299 is 1/765111.