GCF of 3981/213, 4432/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3981/213, 4432/290 i.e 1/61770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3981/213, 4432/290.
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 3981/213,4432/290?
Given fractions are 3981/213,4432/290
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 3981/213,4432/290, numerators are 3981,4432
Denominators are 213,290
The GCF of 3981,4432 is 1 .
LCM of 213,290 is 61770.
The greatest common factor of 3981/213,4432/290 = [GCF of 3981,4432]/[LCM of 213,290]= 1/61770
Therefore, the GCF of 3981/213,4432/290 is 1/61770.
To find the highest common factor of 3981,4432, we have to find the factors of both numbers and list the highest common factor.
The factors of 3981 are 1, 3, 1327, 3981
The factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432
The HCF of 3981,4432 is 1.
Lets's calculate GCF of 3981,4432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3981,4432 By Matching Biggest Common Factor Method
Now, list down the factors of 3981
:1,3,1327,3981
Now, list down the factors of 4432
:1,2,4,8,16,277,554,1108,2216,4432
Greatest Common Factor
We found the factors 3981,4432 . The biggest common factor number is the GCF number.
So the greatest common factor 3981,4432 is 1.
Lets's calculate LCM of 213,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 61770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61770
Therefore, the GCF of Fractions 3981/213,4432/290 is 1/61770
Least Common Multiple of 213,290 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 213,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,290) x common factors =1 x 1 = 1
LCM(213,290) = ( 213 × 290 ) / 1
LCM(213,290) = 61770 / 1
LCM(213,290) = 61770
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FAQs on GCF of Fractions of 3981/213, 4432/290
1. What is the HCF of 3981,4432?
The HCF of 3981,4432 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 3981/213, 4432/290?
Answer: GCF of Numerators as per given numbers 3981/213, 4432/290 is
GCF of Numerators i.e. for 3981,4432 is 1
LCM of denominators i.e. for 213,290 is 61770.
Thus, GCF of Fractions is 1/61770.Finally, GCF of Fractions for 3981/213, 4432/290 is 1/61770.