GCF of 404/925, 1825/9667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 404/925, 1825/9667 i.e 1/8941975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/925, 1825/9667.
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 404/925,1825/9667?
Given fractions are 404/925,1825/9667
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 404/925,1825/9667, numerators are 404,1825
Denominators are 925,9667
The GCF of 404,1825 is 1 .
LCM of 925,9667 is 8941975.
The greatest common factor of 404/925,1825/9667 = [GCF of 404,1825]/[LCM of 925,9667]= 1/8941975
Therefore, the GCF of 404/925,1825/9667 is 1/8941975.
To find the highest common factor of 404,1825, we have to find the factors of both numbers and list the highest common factor.
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 1825 are 1, 5, 25, 73, 365, 1825
The HCF of 404,1825 is 1.
Lets's calculate GCF of 404,1825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 404,1825 By Matching Biggest Common Factor Method
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 1825
:1,5,25,73,365,1825
Greatest Common Factor
We found the factors 404,1825 . The biggest common factor number is the GCF number.
So the greatest common factor 404,1825 is 1.
Lets's calculate LCM of 925,9667
Given numbers has no common factors except 1. So, there LCM is their product i.e 8941975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8941975
Therefore, the GCF of Fractions 404/925,1825/9667 is 1/8941975
Least Common Multiple of 925,9667 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 925,9667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,9667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,9667) x common factors =1 x 1 = 1
LCM(925,9667) = ( 925 × 9667 ) / 1
LCM(925,9667) = 8941975 / 1
LCM(925,9667) = 8941975
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FAQs on GCF of Fractions of 404/925, 1825/9667
1. What is the HCF of 404,1825?
The HCF of 404,1825 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 404/925, 1825/9667?
Answer: GCF of Numerators as per given numbers 404/925, 1825/9667 is
GCF of Numerators i.e. for 404,1825 is 1
LCM of denominators i.e. for 925,9667 is 8941975.
Thus, GCF of Fractions is 1/8941975.Finally, GCF of Fractions for 404/925, 1825/9667 is 1/8941975.