GCF of 8242/916, 4773/2504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8242/916, 4773/2504 i.e 1/573416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8242/916, 4773/2504.
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 8242/916,4773/2504?
Given fractions are 8242/916,4773/2504
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 8242/916,4773/2504, numerators are 8242,4773
Denominators are 916,2504
The GCF of 8242,4773 is 1 .
LCM of 916,2504 is 573416.
The greatest common factor of 8242/916,4773/2504 = [GCF of 8242,4773]/[LCM of 916,2504]= 1/573416
Therefore, the GCF of 8242/916,4773/2504 is 1/573416.
To find the highest common factor of 8242,4773, we have to find the factors of both numbers and list the highest common factor.
The factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242
The factors of 4773 are 1, 3, 37, 43, 111, 129, 1591, 4773
The HCF of 8242,4773 is 1.
Lets's calculate GCF of 8242,4773
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8242,4773 By Matching Biggest Common Factor Method
Now, list down the factors of 8242
:1,2,13,26,317,634,4121,8242
Now, list down the factors of 4773
:1,3,37,43,111,129,1591,4773
Greatest Common Factor
We found the factors 8242,4773 . The biggest common factor number is the GCF number.
So the greatest common factor 8242,4773 is 1.
Lets's calculate LCM of 916,2504
| 2 | 916, 2504 |
| 2 | 458, 1252 |
| 229, 626 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 626 = 573416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573416
Therefore, the GCF of Fractions 8242/916,4773/2504 is 1/573416
Least Common Multiple of 916,2504 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 916,2504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,2504) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,2504) x common factors =4 x 1 = 4
LCM(916,2504) = ( 916 × 2504 ) / 4
LCM(916,2504) = 2293664 / 4
LCM(916,2504) = 573416
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FAQs on GCF of Fractions of 8242/916, 4773/2504
1. What is the HCF of 8242,4773?
The HCF of 8242,4773 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 8242/916, 4773/2504?
Answer: GCF of Numerators as per given numbers 8242/916, 4773/2504 is
GCF of Numerators i.e. for 8242,4773 is 1
LCM of denominators i.e. for 916,2504 is 573416.
Thus, GCF of Fractions is 1/573416.Finally, GCF of Fractions for 8242/916, 4773/2504 is 1/573416.