GCF of 3008/544, 8985/6246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3008/544, 8985/6246 i.e 1/1698912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3008/544, 8985/6246.
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 3008/544,8985/6246?
Given fractions are 3008/544,8985/6246
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 3008/544,8985/6246, numerators are 3008,8985
Denominators are 544,6246
The GCF of 3008,8985 is 1 .
LCM of 544,6246 is 1698912.
The greatest common factor of 3008/544,8985/6246 = [GCF of 3008,8985]/[LCM of 544,6246]= 1/1698912
Therefore, the GCF of 3008/544,8985/6246 is 1/1698912.
To find the highest common factor of 3008,8985, we have to find the factors of both numbers and list the highest common factor.
The factors of 3008 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008
The factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985
The HCF of 3008,8985 is 1.
Lets's calculate GCF of 3008,8985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3008,8985 By Matching Biggest Common Factor Method
Now, list down the factors of 3008
:1,2,4,8,16,32,47,64,94,188,376,752,1504,3008
Now, list down the factors of 8985
:1,3,5,15,599,1797,2995,8985
Greatest Common Factor
We found the factors 3008,8985 . The biggest common factor number is the GCF number.
So the greatest common factor 3008,8985 is 1.
Lets's calculate LCM of 544,6246
| 2 | 544, 6246 |
| 272, 3123 |
∴ So the LCM of the given numbers is 2 x 272 x 3123 = 1698912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1698912
Therefore, the GCF of Fractions 3008/544,8985/6246 is 1/1698912
Least Common Multiple of 544,6246 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 544,6246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,6246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,6246) x common factors =2 x 1 = 2
LCM(544,6246) = ( 544 × 6246 ) / 2
LCM(544,6246) = 3397824 / 2
LCM(544,6246) = 1698912
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FAQs on GCF of Fractions of 3008/544, 8985/6246
1. What is the HCF of 3008,8985?
The HCF of 3008,8985 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 3008/544, 8985/6246?
Answer: GCF of Numerators as per given numbers 3008/544, 8985/6246 is
GCF of Numerators i.e. for 3008,8985 is 1
LCM of denominators i.e. for 544,6246 is 1698912.
Thus, GCF of Fractions is 1/1698912.Finally, GCF of Fractions for 3008/544, 8985/6246 is 1/1698912.