GCF of 9939/909, 2112/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9939/909, 2112/900 i.e 3/90900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9939/909, 2112/900.
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 9939/909,2112/900?
Given fractions are 9939/909,2112/900
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 9939/909,2112/900, numerators are 9939,2112
Denominators are 909,900
The GCF of 9939,2112 is 3 .
LCM of 909,900 is 90900.
The greatest common factor of 9939/909,2112/900 = [GCF of 9939,2112]/[LCM of 909,900]= 3/90900
Therefore, the GCF of 9939/909,2112/900 is 3/90900.
To find the highest common factor of 9939,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 9939 are 1, 3, 3313, 9939
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The HCF of 9939,2112 is 3.
Lets's calculate GCF of 9939,2112
| 3 | 9939, 2112 |
| 3313, 704 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9939,2112 By Matching Biggest Common Factor Method
Now, list down the factors of 9939
:1,3,3313,9939
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Greatest Common Factor
We found the factors 9939,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 9939,2112 is 3.
Lets's calculate LCM of 909,900
| 3 | 909, 900 |
| 3 | 303, 300 |
| 101, 100 |
∴ So the LCM of the given numbers is 3 x 3 x 101 x 100 = 90900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/90900
Therefore, the GCF of Fractions 9939/909,2112/900 is 3/90900
Least Common Multiple of 909,900 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 909,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,900) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(909,900) x common factors =9 x 1 = 9
LCM(909,900) = ( 909 × 900 ) / 9
LCM(909,900) = 818100 / 9
LCM(909,900) = 90900
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FAQs on GCF of Fractions of 9939/909, 2112/900
1. What is the HCF of 9939,2112?
The HCF of 9939,2112 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 9939/909, 2112/900?
Answer: GCF of Numerators as per given numbers 9939/909, 2112/900 is
GCF of Numerators i.e. for 9939,2112 is 3
LCM of denominators i.e. for 909,900 is 90900.
Thus, GCF of Fractions is 3/90900.Finally, GCF of Fractions for 9939/909, 2112/900 is 3/90900.