GCF of 3243/892, 9982/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3243/892, 9982/220 i.e 23/49060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3243/892, 9982/220.
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 3243/892,9982/220?
Given fractions are 3243/892,9982/220
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 3243/892,9982/220, numerators are 3243,9982
Denominators are 892,220
The GCF of 3243,9982 is 23 .
LCM of 892,220 is 49060.
The greatest common factor of 3243/892,9982/220 = [GCF of 3243,9982]/[LCM of 892,220]= 23/49060
Therefore, the GCF of 3243/892,9982/220 is 23/49060.
To find the highest common factor of 3243,9982, we have to find the factors of both numbers and list the highest common factor.
The factors of 3243 are 1, 3, 23, 47, 69, 141, 1081, 3243
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
The HCF of 3243,9982 is 23.
Lets's calculate GCF of 3243,9982
| 23 | 3243, 9982 |
| 141, 434 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 3243,9982 By Matching Biggest Common Factor Method
Now, list down the factors of 3243
:1,3,23,47,69,141,1081,3243
Now, list down the factors of 9982
:1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 3243,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 3243,9982 is 23.
Lets's calculate LCM of 892,220
| 2 | 892, 220 |
| 2 | 446, 110 |
| 223, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 55 = 49060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/49060
Therefore, the GCF of Fractions 3243/892,9982/220 is 23/49060
Least Common Multiple of 892,220 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 892,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,220) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,220) x common factors =4 x 1 = 4
LCM(892,220) = ( 892 × 220 ) / 4
LCM(892,220) = 196240 / 4
LCM(892,220) = 49060
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FAQs on GCF of Fractions of 3243/892, 9982/220
1. What is the HCF of 3243,9982?
The HCF of 3243,9982 is 23
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 3243/892, 9982/220?
Answer: GCF of Numerators as per given numbers 3243/892, 9982/220 is
GCF of Numerators i.e. for 3243,9982 is 23
LCM of denominators i.e. for 892,220 is 49060.
Thus, GCF of Fractions is 23/49060.Finally, GCF of Fractions for 3243/892, 9982/220 is 23/49060.