GCF of 3409/524, 9700/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3409/524, 9700/233 i.e 1/122092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3409/524, 9700/233.
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 3409/524,9700/233?
Given fractions are 3409/524,9700/233
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 3409/524,9700/233, numerators are 3409,9700
Denominators are 524,233
The GCF of 3409,9700 is 1 .
LCM of 524,233 is 122092.
The greatest common factor of 3409/524,9700/233 = [GCF of 3409,9700]/[LCM of 524,233]= 1/122092
Therefore, the GCF of 3409/524,9700/233 is 1/122092.
To find the highest common factor of 3409,9700, we have to find the factors of both numbers and list the highest common factor.
The factors of 3409 are 1, 7, 487, 3409
The factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
The HCF of 3409,9700 is 1.
Lets's calculate GCF of 3409,9700
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3409,9700 By Matching Biggest Common Factor Method
Now, list down the factors of 3409
:1,7,487,3409
Now, list down the factors of 9700
:1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Greatest Common Factor
We found the factors 3409,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 3409,9700 is 1.
Lets's calculate LCM of 524,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 122092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122092
Therefore, the GCF of Fractions 3409/524,9700/233 is 1/122092
Least Common Multiple of 524,233 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 524,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(524,233) x common factors =1 x 1 = 1
LCM(524,233) = ( 524 × 233 ) / 1
LCM(524,233) = 122092 / 1
LCM(524,233) = 122092
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FAQs on GCF of Fractions of 3409/524, 9700/233
1. What is the HCF of 3409,9700?
The HCF of 3409,9700 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 3409/524, 9700/233?
Answer: GCF of Numerators as per given numbers 3409/524, 9700/233 is
GCF of Numerators i.e. for 3409,9700 is 1
LCM of denominators i.e. for 524,233 is 122092.
Thus, GCF of Fractions is 1/122092.Finally, GCF of Fractions for 3409/524, 9700/233 is 1/122092.