GCF of 4328/282, 8201/3677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4328/282, 8201/3677 i.e 1/1036914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4328/282, 8201/3677.
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 4328/282,8201/3677?
Given fractions are 4328/282,8201/3677
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 4328/282,8201/3677, numerators are 4328,8201
Denominators are 282,3677
The GCF of 4328,8201 is 1 .
LCM of 282,3677 is 1036914.
The greatest common factor of 4328/282,8201/3677 = [GCF of 4328,8201]/[LCM of 282,3677]= 1/1036914
Therefore, the GCF of 4328/282,8201/3677 is 1/1036914.
To find the highest common factor of 4328,8201, we have to find the factors of both numbers and list the highest common factor.
The factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328
The factors of 8201 are 1, 59, 139, 8201
The HCF of 4328,8201 is 1.
Lets's calculate GCF of 4328,8201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4328,8201 By Matching Biggest Common Factor Method
Now, list down the factors of 4328
:1,2,4,8,541,1082,2164,4328
Now, list down the factors of 8201
:1,59,139,8201
Greatest Common Factor
We found the factors 4328,8201 . The biggest common factor number is the GCF number.
So the greatest common factor 4328,8201 is 1.
Lets's calculate LCM of 282,3677
Given numbers has no common factors except 1. So, there LCM is their product i.e 1036914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036914
Therefore, the GCF of Fractions 4328/282,8201/3677 is 1/1036914
Least Common Multiple of 282,3677 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 282,3677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,3677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,3677) x common factors =1 x 1 = 1
LCM(282,3677) = ( 282 × 3677 ) / 1
LCM(282,3677) = 1036914 / 1
LCM(282,3677) = 1036914
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FAQs on GCF of Fractions of 4328/282, 8201/3677
1. What is the HCF of 4328,8201?
The HCF of 4328,8201 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 4328/282, 8201/3677?
Answer: GCF of Numerators as per given numbers 4328/282, 8201/3677 is
GCF of Numerators i.e. for 4328,8201 is 1
LCM of denominators i.e. for 282,3677 is 1036914.
Thus, GCF of Fractions is 1/1036914.Finally, GCF of Fractions for 4328/282, 8201/3677 is 1/1036914.