GCF of 9697/510, 8857/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9697/510, 8857/170 i.e 1/510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9697/510, 8857/170.
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 9697/510,8857/170?
Given fractions are 9697/510,8857/170
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 9697/510,8857/170, numerators are 9697,8857
Denominators are 510,170
The GCF of 9697,8857 is 1 .
LCM of 510,170 is 510.
The greatest common factor of 9697/510,8857/170 = [GCF of 9697,8857]/[LCM of 510,170]= 1/510
Therefore, the GCF of 9697/510,8857/170 is 1/510.
To find the highest common factor of 9697,8857, we have to find the factors of both numbers and list the highest common factor.
The factors of 9697 are 1, 9697
The factors of 8857 are 1, 17, 521, 8857
The HCF of 9697,8857 is 1.
Lets's calculate GCF of 9697,8857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9697,8857 By Matching Biggest Common Factor Method
Now, list down the factors of 9697
:1,9697
Now, list down the factors of 8857
:1,17,521,8857
Greatest Common Factor
We found the factors 9697,8857 . The biggest common factor number is the GCF number.
So the greatest common factor 9697,8857 is 1.
Lets's calculate LCM of 510,170
| 2 | 510, 170 |
| 5 | 255, 85 |
| 17 | 51, 17 |
| 3, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 3 x 1 = 510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510
Therefore, the GCF of Fractions 9697/510,8857/170 is 1/510
Least Common Multiple of 510,170 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 510,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,170) = 170
common factors(in case of two or more numbers have common factors) = 1
GCF(510,170) x common factors =170 x 1 = 170
LCM(510,170) = ( 510 × 170 ) / 170
LCM(510,170) = 86700 / 170
LCM(510,170) = 510
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FAQs on GCF of Fractions of 9697/510, 8857/170
1. What is the HCF of 9697,8857?
The HCF of 9697,8857 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 9697/510, 8857/170?
Answer: GCF of Numerators as per given numbers 9697/510, 8857/170 is
GCF of Numerators i.e. for 9697,8857 is 1
LCM of denominators i.e. for 510,170 is 510.
Thus, GCF of Fractions is 1/510.Finally, GCF of Fractions for 9697/510, 8857/170 is 1/510.