GCF of 3916/214, 9281/225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3916/214, 9281/225 i.e 1/48150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3916/214, 9281/225.
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 3916/214,9281/225?
Given fractions are 3916/214,9281/225
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 3916/214,9281/225, numerators are 3916,9281
Denominators are 214,225
The GCF of 3916,9281 is 1 .
LCM of 214,225 is 48150.
The greatest common factor of 3916/214,9281/225 = [GCF of 3916,9281]/[LCM of 214,225]= 1/48150
Therefore, the GCF of 3916/214,9281/225 is 1/48150.
To find the highest common factor of 3916,9281, we have to find the factors of both numbers and list the highest common factor.
The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916
The factors of 9281 are 1, 9281
The HCF of 3916,9281 is 1.
Lets's calculate GCF of 3916,9281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3916,9281 By Matching Biggest Common Factor Method
Now, list down the factors of 3916
:1,2,4,11,22,44,89,178,356,979,1958,3916
Now, list down the factors of 9281
:1,9281
Greatest Common Factor
We found the factors 3916,9281 . The biggest common factor number is the GCF number.
So the greatest common factor 3916,9281 is 1.
Lets's calculate LCM of 214,225
Given numbers has no common factors except 1. So, there LCM is their product i.e 48150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48150
Therefore, the GCF of Fractions 3916/214,9281/225 is 1/48150
Least Common Multiple of 214,225 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 214,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,225) x common factors =1 x 1 = 1
LCM(214,225) = ( 214 × 225 ) / 1
LCM(214,225) = 48150 / 1
LCM(214,225) = 48150
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FAQs on GCF of Fractions of 3916/214, 9281/225
1. What is the HCF of 3916,9281?
The HCF of 3916,9281 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 3916/214, 9281/225?
Answer: GCF of Numerators as per given numbers 3916/214, 9281/225 is
GCF of Numerators i.e. for 3916,9281 is 1
LCM of denominators i.e. for 214,225 is 48150.
Thus, GCF of Fractions is 1/48150.Finally, GCF of Fractions for 3916/214, 9281/225 is 1/48150.