GCF of 8697/920, 3242/8487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8697/920, 3242/8487 i.e 1/339480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8697/920, 3242/8487.
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 8697/920,3242/8487?
Given fractions are 8697/920,3242/8487
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 8697/920,3242/8487, numerators are 8697,3242
Denominators are 920,8487
The GCF of 8697,3242 is 1 .
LCM of 920,8487 is 339480.
The greatest common factor of 8697/920,3242/8487 = [GCF of 8697,3242]/[LCM of 920,8487]= 1/339480
Therefore, the GCF of 8697/920,3242/8487 is 1/339480.
To find the highest common factor of 8697,3242, we have to find the factors of both numbers and list the highest common factor.
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The factors of 3242 are 1, 2, 1621, 3242
The HCF of 8697,3242 is 1.
Lets's calculate GCF of 8697,3242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8697,3242 By Matching Biggest Common Factor Method
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Now, list down the factors of 3242
:1,2,1621,3242
Greatest Common Factor
We found the factors 8697,3242 . The biggest common factor number is the GCF number.
So the greatest common factor 8697,3242 is 1.
Lets's calculate LCM of 920,8487
| 23 | 920, 8487 |
| 40, 369 |
∴ So the LCM of the given numbers is 23 x 40 x 369 = 339480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339480
Therefore, the GCF of Fractions 8697/920,3242/8487 is 1/339480
Least Common Multiple of 920,8487 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 920,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,8487) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(920,8487) x common factors =23 x 1 = 23
LCM(920,8487) = ( 920 × 8487 ) / 23
LCM(920,8487) = 7808040 / 23
LCM(920,8487) = 339480
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FAQs on GCF of Fractions of 8697/920, 3242/8487
1. What is the HCF of 8697,3242?
The HCF of 8697,3242 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 8697/920, 3242/8487?
Answer: GCF of Numerators as per given numbers 8697/920, 3242/8487 is
GCF of Numerators i.e. for 8697,3242 is 1
LCM of denominators i.e. for 920,8487 is 339480.
Thus, GCF of Fractions is 1/339480.Finally, GCF of Fractions for 8697/920, 3242/8487 is 1/339480.