GCF of 8217/292, 2442/1757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8217/292, 2442/1757 i.e 33/513044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8217/292, 2442/1757.
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 8217/292,2442/1757?
Given fractions are 8217/292,2442/1757
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 8217/292,2442/1757, numerators are 8217,2442
Denominators are 292,1757
The GCF of 8217,2442 is 33 .
LCM of 292,1757 is 513044.
The greatest common factor of 8217/292,2442/1757 = [GCF of 8217,2442]/[LCM of 292,1757]= 33/513044
Therefore, the GCF of 8217/292,2442/1757 is 33/513044.
To find the highest common factor of 8217,2442, we have to find the factors of both numbers and list the highest common factor.
The factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217
The factors of 2442 are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442
The HCF of 8217,2442 is 33.
Lets's calculate GCF of 8217,2442
| 3 | 8217, 2442 |
| 11 | 2739, 814 |
| 249, 74 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 8217,2442 By Matching Biggest Common Factor Method
Now, list down the factors of 8217
:1,3,9,11,33,83,99,249,747,913,2739,8217
Now, list down the factors of 2442
:1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442
Greatest Common Factor
We found the factors 8217,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 8217,2442 is 33.
Lets's calculate LCM of 292,1757
Given numbers has no common factors except 1. So, there LCM is their product i.e 513044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/513044
Therefore, the GCF of Fractions 8217/292,2442/1757 is 33/513044
Least Common Multiple of 292,1757 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 292,1757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,1757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,1757) x common factors =1 x 1 = 1
LCM(292,1757) = ( 292 × 1757 ) / 1
LCM(292,1757) = 513044 / 1
LCM(292,1757) = 513044
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8217/292, 2442/1757
1. What is the HCF of 8217,2442?
The HCF of 8217,2442 is 33
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 8217/292, 2442/1757?
Answer: GCF of Numerators as per given numbers 8217/292, 2442/1757 is
GCF of Numerators i.e. for 8217,2442 is 33
LCM of denominators i.e. for 292,1757 is 513044.
Thus, GCF of Fractions is 33/513044.Finally, GCF of Fractions for 8217/292, 2442/1757 is 33/513044.