GCF of 7005/799, 3363/1393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7005/799, 3363/1393 i.e 3/1113007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7005/799, 3363/1393.
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 7005/799,3363/1393?
Given fractions are 7005/799,3363/1393
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 7005/799,3363/1393, numerators are 7005,3363
Denominators are 799,1393
The GCF of 7005,3363 is 3 .
LCM of 799,1393 is 1113007.
The greatest common factor of 7005/799,3363/1393 = [GCF of 7005,3363]/[LCM of 799,1393]= 3/1113007
Therefore, the GCF of 7005/799,3363/1393 is 3/1113007.
To find the highest common factor of 7005,3363, we have to find the factors of both numbers and list the highest common factor.
The factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005
The factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363
The HCF of 7005,3363 is 3.
Lets's calculate GCF of 7005,3363
| 3 | 7005, 3363 |
| 2335, 1121 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7005,3363 By Matching Biggest Common Factor Method
Now, list down the factors of 7005
:1,3,5,15,467,1401,2335,7005
Now, list down the factors of 3363
:1,3,19,57,59,177,1121,3363
Greatest Common Factor
We found the factors 7005,3363 . The biggest common factor number is the GCF number.
So the greatest common factor 7005,3363 is 3.
Lets's calculate LCM of 799,1393
Given numbers has no common factors except 1. So, there LCM is their product i.e 1113007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1113007
Therefore, the GCF of Fractions 7005/799,3363/1393 is 3/1113007
Least Common Multiple of 799,1393 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 799,1393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,1393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,1393) x common factors =1 x 1 = 1
LCM(799,1393) = ( 799 × 1393 ) / 1
LCM(799,1393) = 1113007 / 1
LCM(799,1393) = 1113007
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FAQs on GCF of Fractions of 7005/799, 3363/1393
1. What is the HCF of 7005,3363?
The HCF of 7005,3363 is 3
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 7005/799, 3363/1393?
Answer: GCF of Numerators as per given numbers 7005/799, 3363/1393 is
GCF of Numerators i.e. for 7005,3363 is 3
LCM of denominators i.e. for 799,1393 is 1113007.
Thus, GCF of Fractions is 3/1113007.Finally, GCF of Fractions for 7005/799, 3363/1393 is 3/1113007.