GCF of 2261/321, 8564/5239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2261/321, 8564/5239 i.e 1/1681719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2261/321, 8564/5239.
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 2261/321,8564/5239?
Given fractions are 2261/321,8564/5239
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 2261/321,8564/5239, numerators are 2261,8564
Denominators are 321,5239
The GCF of 2261,8564 is 1 .
LCM of 321,5239 is 1681719.
The greatest common factor of 2261/321,8564/5239 = [GCF of 2261,8564]/[LCM of 321,5239]= 1/1681719
Therefore, the GCF of 2261/321,8564/5239 is 1/1681719.
To find the highest common factor of 2261,8564, we have to find the factors of both numbers and list the highest common factor.
The factors of 2261 are 1, 7, 17, 19, 119, 133, 323, 2261
The factors of 8564 are 1, 2, 4, 2141, 4282, 8564
The HCF of 2261,8564 is 1.
Lets's calculate GCF of 2261,8564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2261,8564 By Matching Biggest Common Factor Method
Now, list down the factors of 2261
:1,7,17,19,119,133,323,2261
Now, list down the factors of 8564
:1,2,4,2141,4282,8564
Greatest Common Factor
We found the factors 2261,8564 . The biggest common factor number is the GCF number.
So the greatest common factor 2261,8564 is 1.
Lets's calculate LCM of 321,5239
Given numbers has no common factors except 1. So, there LCM is their product i.e 1681719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1681719
Therefore, the GCF of Fractions 2261/321,8564/5239 is 1/1681719
Least Common Multiple of 321,5239 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 321,5239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,5239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,5239) x common factors =1 x 1 = 1
LCM(321,5239) = ( 321 × 5239 ) / 1
LCM(321,5239) = 1681719 / 1
LCM(321,5239) = 1681719
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2261/321, 8564/5239
1. What is the HCF of 2261,8564?
The HCF of 2261,8564 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 2261/321, 8564/5239?
Answer: GCF of Numerators as per given numbers 2261/321, 8564/5239 is
GCF of Numerators i.e. for 2261,8564 is 1
LCM of denominators i.e. for 321,5239 is 1681719.
Thus, GCF of Fractions is 1/1681719.Finally, GCF of Fractions for 2261/321, 8564/5239 is 1/1681719.