GCF of 8820/959, 1708/2269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8820/959, 1708/2269 i.e 28/2175971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8820/959, 1708/2269.
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 8820/959,1708/2269?
Given fractions are 8820/959,1708/2269
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 8820/959,1708/2269, numerators are 8820,1708
Denominators are 959,2269
The GCF of 8820,1708 is 28 .
LCM of 959,2269 is 2175971.
The greatest common factor of 8820/959,1708/2269 = [GCF of 8820,1708]/[LCM of 959,2269]= 28/2175971
Therefore, the GCF of 8820/959,1708/2269 is 28/2175971.
To find the highest common factor of 8820,1708, 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 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 8820,1708 is 28.
Lets's calculate GCF of 8820,1708
| 2 | 8820, 1708 |
| 2 | 4410, 854 |
| 7 | 2205, 427 |
| 315, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 8820,1708 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 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 8820,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 8820,1708 is 28.
Lets's calculate LCM of 959,2269
Given numbers has no common factors except 1. So, there LCM is their product i.e 2175971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/2175971
Therefore, the GCF of Fractions 8820/959,1708/2269 is 28/2175971
Least Common Multiple of 959,2269 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 959,2269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,2269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,2269) x common factors =1 x 1 = 1
LCM(959,2269) = ( 959 × 2269 ) / 1
LCM(959,2269) = 2175971 / 1
LCM(959,2269) = 2175971
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FAQs on GCF of Fractions of 8820/959, 1708/2269
1. What is the HCF of 8820,1708?
The HCF of 8820,1708 is 28
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 8820/959, 1708/2269?
Answer: GCF of Numerators as per given numbers 8820/959, 1708/2269 is
GCF of Numerators i.e. for 8820,1708 is 28
LCM of denominators i.e. for 959,2269 is 2175971.
Thus, GCF of Fractions is 28/2175971.Finally, GCF of Fractions for 8820/959, 1708/2269 is 28/2175971.