GCF of 830/183, 8491/8565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 830/183, 8491/8565 i.e 1/522465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/183, 8491/8565.
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 830/183,8491/8565?
Given fractions are 830/183,8491/8565
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 830/183,8491/8565, numerators are 830,8491
Denominators are 183,8565
The GCF of 830,8491 is 1 .
LCM of 183,8565 is 522465.
The greatest common factor of 830/183,8491/8565 = [GCF of 830,8491]/[LCM of 183,8565]= 1/522465
Therefore, the GCF of 830/183,8491/8565 is 1/522465.
To find the highest common factor of 830,8491, we have to find the factors of both numbers and list the highest common factor.
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 8491 are 1, 7, 1213, 8491
The HCF of 830,8491 is 1.
Lets's calculate GCF of 830,8491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 830,8491 By Matching Biggest Common Factor Method
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 8491
:1,7,1213,8491
Greatest Common Factor
We found the factors 830,8491 . The biggest common factor number is the GCF number.
So the greatest common factor 830,8491 is 1.
Lets's calculate LCM of 183,8565
| 3 | 183, 8565 |
| 61, 2855 |
∴ So the LCM of the given numbers is 3 x 61 x 2855 = 522465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522465
Therefore, the GCF of Fractions 830/183,8491/8565 is 1/522465
Least Common Multiple of 183,8565 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 183,8565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,8565) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,8565) x common factors =3 x 1 = 3
LCM(183,8565) = ( 183 × 8565 ) / 3
LCM(183,8565) = 1567395 / 3
LCM(183,8565) = 522465
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FAQs on GCF of Fractions of 830/183, 8491/8565
1. What is the HCF of 830,8491?
The HCF of 830,8491 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 830/183, 8491/8565?
Answer: GCF of Numerators as per given numbers 830/183, 8491/8565 is
GCF of Numerators i.e. for 830,8491 is 1
LCM of denominators i.e. for 183,8565 is 522465.
Thus, GCF of Fractions is 1/522465.Finally, GCF of Fractions for 830/183, 8491/8565 is 1/522465.