GCF of 2223/567, 8700/6628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2223/567, 8700/6628 i.e 3/3758076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2223/567, 8700/6628.
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 2223/567,8700/6628?
Given fractions are 2223/567,8700/6628
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 2223/567,8700/6628, numerators are 2223,8700
Denominators are 567,6628
The GCF of 2223,8700 is 3 .
LCM of 567,6628 is 3758076.
The greatest common factor of 2223/567,8700/6628 = [GCF of 2223,8700]/[LCM of 567,6628]= 3/3758076
Therefore, the GCF of 2223/567,8700/6628 is 3/3758076.
To find the highest common factor of 2223,8700, we have to find the factors of both numbers and list the highest common factor.
The factors of 2223 are 1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223
The factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700
The HCF of 2223,8700 is 3.
Lets's calculate GCF of 2223,8700
| 3 | 2223, 8700 |
| 741, 2900 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2223,8700 By Matching Biggest Common Factor Method
Now, list down the factors of 2223
:1,3,9,13,19,39,57,117,171,247,741,2223
Now, list down the factors of 8700
:1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700
Greatest Common Factor
We found the factors 2223,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 2223,8700 is 3.
Lets's calculate LCM of 567,6628
Given numbers has no common factors except 1. So, there LCM is their product i.e 3758076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3758076
Therefore, the GCF of Fractions 2223/567,8700/6628 is 3/3758076
Least Common Multiple of 567,6628 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 567,6628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,6628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,6628) x common factors =1 x 1 = 1
LCM(567,6628) = ( 567 × 6628 ) / 1
LCM(567,6628) = 3758076 / 1
LCM(567,6628) = 3758076
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FAQs on GCF of Fractions of 2223/567, 8700/6628
1. What is the HCF of 2223,8700?
The HCF of 2223,8700 is 3
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 2223/567, 8700/6628?
Answer: GCF of Numerators as per given numbers 2223/567, 8700/6628 is
GCF of Numerators i.e. for 2223,8700 is 3
LCM of denominators i.e. for 567,6628 is 3758076.
Thus, GCF of Fractions is 3/3758076.Finally, GCF of Fractions for 2223/567, 8700/6628 is 3/3758076.