GCF of 7219/709, 7216/9006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7219/709, 7216/9006 i.e 1/6385254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7219/709, 7216/9006.
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 7219/709,7216/9006?
Given fractions are 7219/709,7216/9006
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 7219/709,7216/9006, numerators are 7219,7216
Denominators are 709,9006
The GCF of 7219,7216 is 1 .
LCM of 709,9006 is 6385254.
The greatest common factor of 7219/709,7216/9006 = [GCF of 7219,7216]/[LCM of 709,9006]= 1/6385254
Therefore, the GCF of 7219/709,7216/9006 is 1/6385254.
To find the highest common factor of 7219,7216, we have to find the factors of both numbers and list the highest common factor.
The factors of 7219 are 1, 7219
The factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216
The HCF of 7219,7216 is 1.
Lets's calculate GCF of 7219,7216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7219,7216 By Matching Biggest Common Factor Method
Now, list down the factors of 7219
:1,7219
Now, list down the factors of 7216
:1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216
Greatest Common Factor
We found the factors 7219,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 7219,7216 is 1.
Lets's calculate LCM of 709,9006
Given numbers has no common factors except 1. So, there LCM is their product i.e 6385254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6385254
Therefore, the GCF of Fractions 7219/709,7216/9006 is 1/6385254
Least Common Multiple of 709,9006 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 709,9006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,9006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,9006) x common factors =1 x 1 = 1
LCM(709,9006) = ( 709 × 9006 ) / 1
LCM(709,9006) = 6385254 / 1
LCM(709,9006) = 6385254
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FAQs on GCF of Fractions of 7219/709, 7216/9006
1. What is the HCF of 7219,7216?
The HCF of 7219,7216 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 7219/709, 7216/9006?
Answer: GCF of Numerators as per given numbers 7219/709, 7216/9006 is
GCF of Numerators i.e. for 7219,7216 is 1
LCM of denominators i.e. for 709,9006 is 6385254.
Thus, GCF of Fractions is 1/6385254.Finally, GCF of Fractions for 7219/709, 7216/9006 is 1/6385254.