GCF of 7213/351, 5766/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7213/351, 5766/229 i.e 1/80379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7213/351, 5766/229.
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 7213/351,5766/229?
Given fractions are 7213/351,5766/229
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 7213/351,5766/229, numerators are 7213,5766
Denominators are 351,229
The GCF of 7213,5766 is 1 .
LCM of 351,229 is 80379.
The greatest common factor of 7213/351,5766/229 = [GCF of 7213,5766]/[LCM of 351,229]= 1/80379
Therefore, the GCF of 7213/351,5766/229 is 1/80379.
To find the highest common factor of 7213,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 7213 are 1, 7213
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 7213,5766 is 1.
Lets's calculate GCF of 7213,5766
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7213,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 7213
:1,7213
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 7213,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 7213,5766 is 1.
Lets's calculate LCM of 351,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 80379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80379
Therefore, the GCF of Fractions 7213/351,5766/229 is 1/80379
Least Common Multiple of 351,229 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 351,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,229) x common factors =1 x 1 = 1
LCM(351,229) = ( 351 × 229 ) / 1
LCM(351,229) = 80379 / 1
LCM(351,229) = 80379
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FAQs on GCF of Fractions of 7213/351, 5766/229
1. What is the HCF of 7213,5766?
The HCF of 7213,5766 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 7213/351, 5766/229?
Answer: GCF of Numerators as per given numbers 7213/351, 5766/229 is
GCF of Numerators i.e. for 7213,5766 is 1
LCM of denominators i.e. for 351,229 is 80379.
Thus, GCF of Fractions is 1/80379.Finally, GCF of Fractions for 7213/351, 5766/229 is 1/80379.