GCF of 2022/223, 9735/4306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2022/223, 9735/4306 i.e 3/960238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2022/223, 9735/4306.
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 2022/223,9735/4306?
Given fractions are 2022/223,9735/4306
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 2022/223,9735/4306, numerators are 2022,9735
Denominators are 223,4306
The GCF of 2022,9735 is 3 .
LCM of 223,4306 is 960238.
The greatest common factor of 2022/223,9735/4306 = [GCF of 2022,9735]/[LCM of 223,4306]= 3/960238
Therefore, the GCF of 2022/223,9735/4306 is 3/960238.
To find the highest common factor of 2022,9735, we have to find the factors of both numbers and list the highest common factor.
The factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022
The factors of 9735 are 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735
The HCF of 2022,9735 is 3.
Lets's calculate GCF of 2022,9735
| 3 | 2022, 9735 |
| 674, 3245 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2022,9735 By Matching Biggest Common Factor Method
Now, list down the factors of 2022
:1,2,3,6,337,674,1011,2022
Now, list down the factors of 9735
:1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735
Greatest Common Factor
We found the factors 2022,9735 . The biggest common factor number is the GCF number.
So the greatest common factor 2022,9735 is 3.
Lets's calculate LCM of 223,4306
Given numbers has no common factors except 1. So, there LCM is their product i.e 960238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/960238
Therefore, the GCF of Fractions 2022/223,9735/4306 is 3/960238
Least Common Multiple of 223,4306 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 223,4306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,4306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,4306) x common factors =1 x 1 = 1
LCM(223,4306) = ( 223 × 4306 ) / 1
LCM(223,4306) = 960238 / 1
LCM(223,4306) = 960238
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FAQs on GCF of Fractions of 2022/223, 9735/4306
1. What is the HCF of 2022,9735?
The HCF of 2022,9735 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 2022/223, 9735/4306?
Answer: GCF of Numerators as per given numbers 2022/223, 9735/4306 is
GCF of Numerators i.e. for 2022,9735 is 3
LCM of denominators i.e. for 223,4306 is 960238.
Thus, GCF of Fractions is 3/960238.Finally, GCF of Fractions for 2022/223, 9735/4306 is 3/960238.