GCF of 697/75, 831/8302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 697/75, 831/8302 i.e 1/622650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 697/75, 831/8302.
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 697/75,831/8302?
Given fractions are 697/75,831/8302
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 697/75,831/8302, numerators are 697,831
Denominators are 75,8302
The GCF of 697,831 is 1 .
LCM of 75,8302 is 622650.
The greatest common factor of 697/75,831/8302 = [GCF of 697,831]/[LCM of 75,8302]= 1/622650
Therefore, the GCF of 697/75,831/8302 is 1/622650.
To find the highest common factor of 697,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 697 are 1, 17, 41, 697
The factors of 831 are 1, 3, 277, 831
The HCF of 697,831 is 1.
Lets's calculate GCF of 697,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 697,831 By Matching Biggest Common Factor Method
Now, list down the factors of 697
:1,17,41,697
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 697,831 . The biggest common factor number is the GCF number.
So the greatest common factor 697,831 is 1.
Lets's calculate LCM of 75,8302
Given numbers has no common factors except 1. So, there LCM is their product i.e 622650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622650
Therefore, the GCF of Fractions 697/75,831/8302 is 1/622650
Least Common Multiple of 75,8302 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 75,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,8302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,8302) x common factors =1 x 1 = 1
LCM(75,8302) = ( 75 × 8302 ) / 1
LCM(75,8302) = 622650 / 1
LCM(75,8302) = 622650
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FAQs on GCF of Fractions of 697/75, 831/8302
1. What is the HCF of 697,831?
The HCF of 697,831 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 697/75, 831/8302?
Answer: GCF of Numerators as per given numbers 697/75, 831/8302 is
GCF of Numerators i.e. for 697,831 is 1
LCM of denominators i.e. for 75,8302 is 622650.
Thus, GCF of Fractions is 1/622650.Finally, GCF of Fractions for 697/75, 831/8302 is 1/622650.