GCF of 6208/523, 9697/2375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6208/523, 9697/2375 i.e 1/1242125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6208/523, 9697/2375.
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 6208/523,9697/2375?
Given fractions are 6208/523,9697/2375
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 6208/523,9697/2375, numerators are 6208,9697
Denominators are 523,2375
The GCF of 6208,9697 is 1 .
LCM of 523,2375 is 1242125.
The greatest common factor of 6208/523,9697/2375 = [GCF of 6208,9697]/[LCM of 523,2375]= 1/1242125
Therefore, the GCF of 6208/523,9697/2375 is 1/1242125.
To find the highest common factor of 6208,9697, we have to find the factors of both numbers and list the highest common factor.
The factors of 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208
The factors of 9697 are 1, 9697
The HCF of 6208,9697 is 1.
Lets's calculate GCF of 6208,9697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6208,9697 By Matching Biggest Common Factor Method
Now, list down the factors of 6208
:1,2,4,8,16,32,64,97,194,388,776,1552,3104,6208
Now, list down the factors of 9697
:1,9697
Greatest Common Factor
We found the factors 6208,9697 . The biggest common factor number is the GCF number.
So the greatest common factor 6208,9697 is 1.
Lets's calculate LCM of 523,2375
Given numbers has no common factors except 1. So, there LCM is their product i.e 1242125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242125
Therefore, the GCF of Fractions 6208/523,9697/2375 is 1/1242125
Least Common Multiple of 523,2375 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 523,2375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,2375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,2375) x common factors =1 x 1 = 1
LCM(523,2375) = ( 523 × 2375 ) / 1
LCM(523,2375) = 1242125 / 1
LCM(523,2375) = 1242125
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FAQs on GCF of Fractions of 6208/523, 9697/2375
1. What is the HCF of 6208,9697?
The HCF of 6208,9697 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 6208/523, 9697/2375?
Answer: GCF of Numerators as per given numbers 6208/523, 9697/2375 is
GCF of Numerators i.e. for 6208,9697 is 1
LCM of denominators i.e. for 523,2375 is 1242125.
Thus, GCF of Fractions is 1/1242125.Finally, GCF of Fractions for 6208/523, 9697/2375 is 1/1242125.