GCF of 7032/459, 7219/7045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7032/459, 7219/7045 i.e 1/3233655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7032/459, 7219/7045.
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 7032/459,7219/7045?
Given fractions are 7032/459,7219/7045
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 7032/459,7219/7045, numerators are 7032,7219
Denominators are 459,7045
The GCF of 7032,7219 is 1 .
LCM of 459,7045 is 3233655.
The greatest common factor of 7032/459,7219/7045 = [GCF of 7032,7219]/[LCM of 459,7045]= 1/3233655
Therefore, the GCF of 7032/459,7219/7045 is 1/3233655.
To find the highest common factor of 7032,7219, we have to find the factors of both numbers and list the highest common factor.
The factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032
The factors of 7219 are 1, 7219
The HCF of 7032,7219 is 1.
Lets's calculate GCF of 7032,7219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7032,7219 By Matching Biggest Common Factor Method
Now, list down the factors of 7032
:1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Now, list down the factors of 7219
:1,7219
Greatest Common Factor
We found the factors 7032,7219 . The biggest common factor number is the GCF number.
So the greatest common factor 7032,7219 is 1.
Lets's calculate LCM of 459,7045
Given numbers has no common factors except 1. So, there LCM is their product i.e 3233655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3233655
Therefore, the GCF of Fractions 7032/459,7219/7045 is 1/3233655
Least Common Multiple of 459,7045 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 459,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,7045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,7045) x common factors =1 x 1 = 1
LCM(459,7045) = ( 459 × 7045 ) / 1
LCM(459,7045) = 3233655 / 1
LCM(459,7045) = 3233655
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FAQs on GCF of Fractions of 7032/459, 7219/7045
1. What is the HCF of 7032,7219?
The HCF of 7032,7219 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 7032/459, 7219/7045?
Answer: GCF of Numerators as per given numbers 7032/459, 7219/7045 is
GCF of Numerators i.e. for 7032,7219 is 1
LCM of denominators i.e. for 459,7045 is 3233655.
Thus, GCF of Fractions is 1/3233655.Finally, GCF of Fractions for 7032/459, 7219/7045 is 1/3233655.