GCF of 9648/418, 8900/4504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9648/418, 8900/4504 i.e 4/941336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9648/418, 8900/4504.
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 9648/418,8900/4504?
Given fractions are 9648/418,8900/4504
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 9648/418,8900/4504, numerators are 9648,8900
Denominators are 418,4504
The GCF of 9648,8900 is 4 .
LCM of 418,4504 is 941336.
The greatest common factor of 9648/418,8900/4504 = [GCF of 9648,8900]/[LCM of 418,4504]= 4/941336
Therefore, the GCF of 9648/418,8900/4504 is 4/941336.
To find the highest common factor of 9648,8900, we have to find the factors of both numbers and list the highest common factor.
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900
The HCF of 9648,8900 is 4.
Lets's calculate GCF of 9648,8900
| 2 | 9648, 8900 |
| 2 | 4824, 4450 |
| 2412, 2225 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9648,8900 By Matching Biggest Common Factor Method
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Now, list down the factors of 8900
:1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900
Greatest Common Factor
We found the factors 9648,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 9648,8900 is 4.
Lets's calculate LCM of 418,4504
| 2 | 418, 4504 |
| 209, 2252 |
∴ So the LCM of the given numbers is 2 x 209 x 2252 = 941336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/941336
Therefore, the GCF of Fractions 9648/418,8900/4504 is 4/941336
Least Common Multiple of 418,4504 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 418,4504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,4504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,4504) x common factors =2 x 1 = 2
LCM(418,4504) = ( 418 × 4504 ) / 2
LCM(418,4504) = 1882672 / 2
LCM(418,4504) = 941336
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FAQs on GCF of Fractions of 9648/418, 8900/4504
1. What is the HCF of 9648,8900?
The HCF of 9648,8900 is 4
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 9648/418, 8900/4504?
Answer: GCF of Numerators as per given numbers 9648/418, 8900/4504 is
GCF of Numerators i.e. for 9648,8900 is 4
LCM of denominators i.e. for 418,4504 is 941336.
Thus, GCF of Fractions is 4/941336.Finally, GCF of Fractions for 9648/418, 8900/4504 is 4/941336.