GCF of 8524/278, 8343/861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8524/278, 8343/861 i.e 1/239358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8524/278, 8343/861.
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 8524/278,8343/861?
Given fractions are 8524/278,8343/861
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 8524/278,8343/861, numerators are 8524,8343
Denominators are 278,861
The GCF of 8524,8343 is 1 .
LCM of 278,861 is 239358.
The greatest common factor of 8524/278,8343/861 = [GCF of 8524,8343]/[LCM of 278,861]= 1/239358
Therefore, the GCF of 8524/278,8343/861 is 1/239358.
To find the highest common factor of 8524,8343, we have to find the factors of both numbers and list the highest common factor.
The factors of 8524 are 1, 2, 4, 2131, 4262, 8524
The factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343
The HCF of 8524,8343 is 1.
Lets's calculate GCF of 8524,8343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8524,8343 By Matching Biggest Common Factor Method
Now, list down the factors of 8524
:1,2,4,2131,4262,8524
Now, list down the factors of 8343
:1,3,9,27,81,103,309,927,2781,8343
Greatest Common Factor
We found the factors 8524,8343 . The biggest common factor number is the GCF number.
So the greatest common factor 8524,8343 is 1.
Lets's calculate LCM of 278,861
Given numbers has no common factors except 1. So, there LCM is their product i.e 239358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239358
Therefore, the GCF of Fractions 8524/278,8343/861 is 1/239358
Least Common Multiple of 278,861 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 278,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,861) x common factors =1 x 1 = 1
LCM(278,861) = ( 278 × 861 ) / 1
LCM(278,861) = 239358 / 1
LCM(278,861) = 239358
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FAQs on GCF of Fractions of 8524/278, 8343/861
1. What is the HCF of 8524,8343?
The HCF of 8524,8343 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 8524/278, 8343/861?
Answer: GCF of Numerators as per given numbers 8524/278, 8343/861 is
GCF of Numerators i.e. for 8524,8343 is 1
LCM of denominators i.e. for 278,861 is 239358.
Thus, GCF of Fractions is 1/239358.Finally, GCF of Fractions for 8524/278, 8343/861 is 1/239358.