GCF of 2149/521, 8235/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2149/521, 8235/952 i.e 1/495992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2149/521, 8235/952.
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 2149/521,8235/952?
Given fractions are 2149/521,8235/952
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 2149/521,8235/952, numerators are 2149,8235
Denominators are 521,952
The GCF of 2149,8235 is 1 .
LCM of 521,952 is 495992.
The greatest common factor of 2149/521,8235/952 = [GCF of 2149,8235]/[LCM of 521,952]= 1/495992
Therefore, the GCF of 2149/521,8235/952 is 1/495992.
To find the highest common factor of 2149,8235, we have to find the factors of both numbers and list the highest common factor.
The factors of 2149 are 1, 7, 307, 2149
The factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235
The HCF of 2149,8235 is 1.
Lets's calculate GCF of 2149,8235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2149,8235 By Matching Biggest Common Factor Method
Now, list down the factors of 2149
:1,7,307,2149
Now, list down the factors of 8235
:1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235
Greatest Common Factor
We found the factors 2149,8235 . The biggest common factor number is the GCF number.
So the greatest common factor 2149,8235 is 1.
Lets's calculate LCM of 521,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 495992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495992
Therefore, the GCF of Fractions 2149/521,8235/952 is 1/495992
Least Common Multiple of 521,952 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 521,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,952) x common factors =1 x 1 = 1
LCM(521,952) = ( 521 × 952 ) / 1
LCM(521,952) = 495992 / 1
LCM(521,952) = 495992
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FAQs on GCF of Fractions of 2149/521, 8235/952
1. What is the HCF of 2149,8235?
The HCF of 2149,8235 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 2149/521, 8235/952?
Answer: GCF of Numerators as per given numbers 2149/521, 8235/952 is
GCF of Numerators i.e. for 2149,8235 is 1
LCM of denominators i.e. for 521,952 is 495992.
Thus, GCF of Fractions is 1/495992.Finally, GCF of Fractions for 2149/521, 8235/952 is 1/495992.