GCF of 8723/214, 9322/8855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8723/214, 9322/8855 i.e 1/1894970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8723/214, 9322/8855.
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 8723/214,9322/8855?
Given fractions are 8723/214,9322/8855
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 8723/214,9322/8855, numerators are 8723,9322
Denominators are 214,8855
The GCF of 8723,9322 is 1 .
LCM of 214,8855 is 1894970.
The greatest common factor of 8723/214,9322/8855 = [GCF of 8723,9322]/[LCM of 214,8855]= 1/1894970
Therefore, the GCF of 8723/214,9322/8855 is 1/1894970.
To find the highest common factor of 8723,9322, we have to find the factors of both numbers and list the highest common factor.
The factors of 8723 are 1, 11, 13, 61, 143, 671, 793, 8723
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The HCF of 8723,9322 is 1.
Lets's calculate GCF of 8723,9322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8723,9322 By Matching Biggest Common Factor Method
Now, list down the factors of 8723
:1,11,13,61,143,671,793,8723
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors 8723,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 8723,9322 is 1.
Lets's calculate LCM of 214,8855
Given numbers has no common factors except 1. So, there LCM is their product i.e 1894970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1894970
Therefore, the GCF of Fractions 8723/214,9322/8855 is 1/1894970
Least Common Multiple of 214,8855 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 214,8855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,8855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,8855) x common factors =1 x 1 = 1
LCM(214,8855) = ( 214 × 8855 ) / 1
LCM(214,8855) = 1894970 / 1
LCM(214,8855) = 1894970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8723/214, 9322/8855
1. What is the HCF of 8723,9322?
The HCF of 8723,9322 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 8723/214, 9322/8855?
Answer: GCF of Numerators as per given numbers 8723/214, 9322/8855 is
GCF of Numerators i.e. for 8723,9322 is 1
LCM of denominators i.e. for 214,8855 is 1894970.
Thus, GCF of Fractions is 1/1894970.Finally, GCF of Fractions for 8723/214, 9322/8855 is 1/1894970.