GCF of 1521/307, 1826/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1521/307, 1826/912 i.e 1/279984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1521/307, 1826/912.
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 1521/307,1826/912?
Given fractions are 1521/307,1826/912
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 1521/307,1826/912, numerators are 1521,1826
Denominators are 307,912
The GCF of 1521,1826 is 1 .
LCM of 307,912 is 279984.
The greatest common factor of 1521/307,1826/912 = [GCF of 1521,1826]/[LCM of 307,912]= 1/279984
Therefore, the GCF of 1521/307,1826/912 is 1/279984.
To find the highest common factor of 1521,1826, we have to find the factors of both numbers and list the highest common factor.
The factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521
The factors of 1826 are 1, 2, 11, 22, 83, 166, 913, 1826
The HCF of 1521,1826 is 1.
Lets's calculate GCF of 1521,1826
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1521,1826 By Matching Biggest Common Factor Method
Now, list down the factors of 1521
:1,3,9,13,39,117,169,507,1521
Now, list down the factors of 1826
:1,2,11,22,83,166,913,1826
Greatest Common Factor
We found the factors 1521,1826 . The biggest common factor number is the GCF number.
So the greatest common factor 1521,1826 is 1.
Lets's calculate LCM of 307,912
Given numbers has no common factors except 1. So, there LCM is their product i.e 279984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279984
Therefore, the GCF of Fractions 1521/307,1826/912 is 1/279984
Least Common Multiple of 307,912 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 307,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,912) x common factors =1 x 1 = 1
LCM(307,912) = ( 307 × 912 ) / 1
LCM(307,912) = 279984 / 1
LCM(307,912) = 279984
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FAQs on GCF of Fractions of 1521/307, 1826/912
1. What is the HCF of 1521,1826?
The HCF of 1521,1826 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 1521/307, 1826/912?
Answer: GCF of Numerators as per given numbers 1521/307, 1826/912 is
GCF of Numerators i.e. for 1521,1826 is 1
LCM of denominators i.e. for 307,912 is 279984.
Thus, GCF of Fractions is 1/279984.Finally, GCF of Fractions for 1521/307, 1826/912 is 1/279984.