GCF of 1200/838, 6208/6331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1200/838, 6208/6331 i.e 16/5305378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1200/838, 6208/6331.
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 1200/838,6208/6331?
Given fractions are 1200/838,6208/6331
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 1200/838,6208/6331, numerators are 1200,6208
Denominators are 838,6331
The GCF of 1200,6208 is 16 .
LCM of 838,6331 is 5305378.
The greatest common factor of 1200/838,6208/6331 = [GCF of 1200,6208]/[LCM of 838,6331]= 16/5305378
Therefore, the GCF of 1200/838,6208/6331 is 16/5305378.
To find the highest common factor of 1200,6208, we have to find the factors of both numbers and list the highest common factor.
The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
The factors of 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208
The HCF of 1200,6208 is 16.
Lets's calculate GCF of 1200,6208
| 2 | 1200, 6208 |
| 2 | 600, 3104 |
| 2 | 300, 1552 |
| 2 | 150, 776 |
| 75, 388 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1200,6208 By Matching Biggest Common Factor Method
Now, list down the factors of 1200
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200
Now, list down the factors of 6208
:1,2,4,8,16,32,64,97,194,388,776,1552,3104,6208
Greatest Common Factor
We found the factors 1200,6208 . The biggest common factor number is the GCF number.
So the greatest common factor 1200,6208 is 16.
Lets's calculate LCM of 838,6331
Given numbers has no common factors except 1. So, there LCM is their product i.e 5305378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/5305378
Therefore, the GCF of Fractions 1200/838,6208/6331 is 16/5305378
Least Common Multiple of 838,6331 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 838,6331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,6331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,6331) x common factors =1 x 1 = 1
LCM(838,6331) = ( 838 × 6331 ) / 1
LCM(838,6331) = 5305378 / 1
LCM(838,6331) = 5305378
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FAQs on GCF of Fractions of 1200/838, 6208/6331
1. What is the HCF of 1200,6208?
The HCF of 1200,6208 is 16
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 1200/838, 6208/6331?
Answer: GCF of Numerators as per given numbers 1200/838, 6208/6331 is
GCF of Numerators i.e. for 1200,6208 is 16
LCM of denominators i.e. for 838,6331 is 5305378.
Thus, GCF of Fractions is 16/5305378.Finally, GCF of Fractions for 1200/838, 6208/6331 is 16/5305378.