GCF of 2065/523, 3562/2235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2065/523, 3562/2235 i.e 1/1168905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2065/523, 3562/2235.
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 2065/523,3562/2235?
Given fractions are 2065/523,3562/2235
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 2065/523,3562/2235, numerators are 2065,3562
Denominators are 523,2235
The GCF of 2065,3562 is 1 .
LCM of 523,2235 is 1168905.
The greatest common factor of 2065/523,3562/2235 = [GCF of 2065,3562]/[LCM of 523,2235]= 1/1168905
Therefore, the GCF of 2065/523,3562/2235 is 1/1168905.
To find the highest common factor of 2065,3562, we have to find the factors of both numbers and list the highest common factor.
The factors of 2065 are 1, 5, 7, 35, 59, 295, 413, 2065
The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562
The HCF of 2065,3562 is 1.
Lets's calculate GCF of 2065,3562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2065,3562 By Matching Biggest Common Factor Method
Now, list down the factors of 2065
:1,5,7,35,59,295,413,2065
Now, list down the factors of 3562
:1,2,13,26,137,274,1781,3562
Greatest Common Factor
We found the factors 2065,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 2065,3562 is 1.
Lets's calculate LCM of 523,2235
Given numbers has no common factors except 1. So, there LCM is their product i.e 1168905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1168905
Therefore, the GCF of Fractions 2065/523,3562/2235 is 1/1168905
Least Common Multiple of 523,2235 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 523,2235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,2235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,2235) x common factors =1 x 1 = 1
LCM(523,2235) = ( 523 × 2235 ) / 1
LCM(523,2235) = 1168905 / 1
LCM(523,2235) = 1168905
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FAQs on GCF of Fractions of 2065/523, 3562/2235
1. What is the HCF of 2065,3562?
The HCF of 2065,3562 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 2065/523, 3562/2235?
Answer: GCF of Numerators as per given numbers 2065/523, 3562/2235 is
GCF of Numerators i.e. for 2065,3562 is 1
LCM of denominators i.e. for 523,2235 is 1168905.
Thus, GCF of Fractions is 1/1168905.Finally, GCF of Fractions for 2065/523, 3562/2235 is 1/1168905.