GCF of 6252/150, 6336/3370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6252/150, 6336/3370 i.e 12/50550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6252/150, 6336/3370.
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 6252/150,6336/3370?
Given fractions are 6252/150,6336/3370
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 6252/150,6336/3370, numerators are 6252,6336
Denominators are 150,3370
The GCF of 6252,6336 is 12 .
LCM of 150,3370 is 50550.
The greatest common factor of 6252/150,6336/3370 = [GCF of 6252,6336]/[LCM of 150,3370]= 12/50550
Therefore, the GCF of 6252/150,6336/3370 is 12/50550.
To find the highest common factor of 6252,6336, we have to find the factors of both numbers and list the highest common factor.
The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252
The factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336
The HCF of 6252,6336 is 12.
Lets's calculate GCF of 6252,6336
| 2 | 6252, 6336 |
| 2 | 3126, 3168 |
| 3 | 1563, 1584 |
| 521, 528 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6252,6336 By Matching Biggest Common Factor Method
Now, list down the factors of 6252
:1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Now, list down the factors of 6336
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Greatest Common Factor
We found the factors 6252,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 6252,6336 is 12.
Lets's calculate LCM of 150,3370
| 2 | 150, 3370 |
| 5 | 75, 1685 |
| 15, 337 |
∴ So the LCM of the given numbers is 2 x 5 x 15 x 337 = 50550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/50550
Therefore, the GCF of Fractions 6252/150,6336/3370 is 12/50550
Least Common Multiple of 150,3370 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 150,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,3370) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(150,3370) x common factors =10 x 1 = 10
LCM(150,3370) = ( 150 × 3370 ) / 10
LCM(150,3370) = 505500 / 10
LCM(150,3370) = 50550
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FAQs on GCF of Fractions of 6252/150, 6336/3370
1. What is the HCF of 6252,6336?
The HCF of 6252,6336 is 12
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 6252/150, 6336/3370?
Answer: GCF of Numerators as per given numbers 6252/150, 6336/3370 is
GCF of Numerators i.e. for 6252,6336 is 12
LCM of denominators i.e. for 150,3370 is 50550.
Thus, GCF of Fractions is 12/50550.Finally, GCF of Fractions for 6252/150, 6336/3370 is 12/50550.