GCF of 8885/420, 9908/1332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8885/420, 9908/1332 i.e 1/46620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8885/420, 9908/1332.
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 8885/420,9908/1332?
Given fractions are 8885/420,9908/1332
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 8885/420,9908/1332, numerators are 8885,9908
Denominators are 420,1332
The GCF of 8885,9908 is 1 .
LCM of 420,1332 is 46620.
The greatest common factor of 8885/420,9908/1332 = [GCF of 8885,9908]/[LCM of 420,1332]= 1/46620
Therefore, the GCF of 8885/420,9908/1332 is 1/46620.
To find the highest common factor of 8885,9908, we have to find the factors of both numbers and list the highest common factor.
The factors of 8885 are 1, 5, 1777, 8885
The factors of 9908 are 1, 2, 4, 2477, 4954, 9908
The HCF of 8885,9908 is 1.
Lets's calculate GCF of 8885,9908
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8885,9908 By Matching Biggest Common Factor Method
Now, list down the factors of 8885
:1,5,1777,8885
Now, list down the factors of 9908
:1,2,4,2477,4954,9908
Greatest Common Factor
We found the factors 8885,9908 . The biggest common factor number is the GCF number.
So the greatest common factor 8885,9908 is 1.
Lets's calculate LCM of 420,1332
| 2 | 420, 1332 |
| 2 | 210, 666 |
| 3 | 105, 333 |
| 35, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 35 x 111 = 46620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46620
Therefore, the GCF of Fractions 8885/420,9908/1332 is 1/46620
Least Common Multiple of 420,1332 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 420,1332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,1332) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(420,1332) x common factors =12 x 1 = 12
LCM(420,1332) = ( 420 × 1332 ) / 12
LCM(420,1332) = 559440 / 12
LCM(420,1332) = 46620
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FAQs on GCF of Fractions of 8885/420, 9908/1332
1. What is the HCF of 8885,9908?
The HCF of 8885,9908 is 1
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 8885/420, 9908/1332?
Answer: GCF of Numerators as per given numbers 8885/420, 9908/1332 is
GCF of Numerators i.e. for 8885,9908 is 1
LCM of denominators i.e. for 420,1332 is 46620.
Thus, GCF of Fractions is 1/46620.Finally, GCF of Fractions for 8885/420, 9908/1332 is 1/46620.