GCF of 3243/789, 9906/4216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3243/789, 9906/4216 i.e 3/3326424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3243/789, 9906/4216.
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 3243/789,9906/4216?
Given fractions are 3243/789,9906/4216
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 3243/789,9906/4216, numerators are 3243,9906
Denominators are 789,4216
The GCF of 3243,9906 is 3 .
LCM of 789,4216 is 3326424.
The greatest common factor of 3243/789,9906/4216 = [GCF of 3243,9906]/[LCM of 789,4216]= 3/3326424
Therefore, the GCF of 3243/789,9906/4216 is 3/3326424.
To find the highest common factor of 3243,9906, 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 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906
The HCF of 3243,9906 is 3.
Lets's calculate GCF of 3243,9906
| 3 | 3243, 9906 |
| 1081, 3302 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3243,9906 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 9906
:1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906
Greatest Common Factor
We found the factors 3243,9906 . The biggest common factor number is the GCF number.
So the greatest common factor 3243,9906 is 3.
Lets's calculate LCM of 789,4216
Given numbers has no common factors except 1. So, there LCM is their product i.e 3326424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3326424
Therefore, the GCF of Fractions 3243/789,9906/4216 is 3/3326424
Least Common Multiple of 789,4216 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 789,4216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,4216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,4216) x common factors =1 x 1 = 1
LCM(789,4216) = ( 789 × 4216 ) / 1
LCM(789,4216) = 3326424 / 1
LCM(789,4216) = 3326424
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FAQs on GCF of Fractions of 3243/789, 9906/4216
1. What is the HCF of 3243,9906?
The HCF of 3243,9906 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 3243/789, 9906/4216?
Answer: GCF of Numerators as per given numbers 3243/789, 9906/4216 is
GCF of Numerators i.e. for 3243,9906 is 3
LCM of denominators i.e. for 789,4216 is 3326424.
Thus, GCF of Fractions is 3/3326424.Finally, GCF of Fractions for 3243/789, 9906/4216 is 3/3326424.