GCF of 8213/13, 8883/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8213/13, 8883/284 i.e 1/3692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8213/13, 8883/284.
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 8213/13,8883/284?
Given fractions are 8213/13,8883/284
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 8213/13,8883/284, numerators are 8213,8883
Denominators are 13,284
The GCF of 8213,8883 is 1 .
LCM of 13,284 is 3692.
The greatest common factor of 8213/13,8883/284 = [GCF of 8213,8883]/[LCM of 13,284]= 1/3692
Therefore, the GCF of 8213/13,8883/284 is 1/3692.
To find the highest common factor of 8213,8883, we have to find the factors of both numbers and list the highest common factor.
The factors of 8213 are 1, 43, 191, 8213
The factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
The HCF of 8213,8883 is 1.
Lets's calculate GCF of 8213,8883
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8213,8883 By Matching Biggest Common Factor Method
Now, list down the factors of 8213
:1,43,191,8213
Now, list down the factors of 8883
:1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors 8213,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 8213,8883 is 1.
Lets's calculate LCM of 13,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 3692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3692
Therefore, the GCF of Fractions 8213/13,8883/284 is 1/3692
Least Common Multiple of 13,284 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 13,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,284) x common factors =1 x 1 = 1
LCM(13,284) = ( 13 × 284 ) / 1
LCM(13,284) = 3692 / 1
LCM(13,284) = 3692
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8213/13, 8883/284
1. What is the HCF of 8213,8883?
The HCF of 8213,8883 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 8213/13, 8883/284?
Answer: GCF of Numerators as per given numbers 8213/13, 8883/284 is
GCF of Numerators i.e. for 8213,8883 is 1
LCM of denominators i.e. for 13,284 is 3692.
Thus, GCF of Fractions is 1/3692.Finally, GCF of Fractions for 8213/13, 8883/284 is 1/3692.