GCF of 2234/565, 5338/9823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2234/565, 5338/9823 i.e 2/5549995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2234/565, 5338/9823.
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 2234/565,5338/9823?
Given fractions are 2234/565,5338/9823
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 2234/565,5338/9823, numerators are 2234,5338
Denominators are 565,9823
The GCF of 2234,5338 is 2 .
LCM of 565,9823 is 5549995.
The greatest common factor of 2234/565,5338/9823 = [GCF of 2234,5338]/[LCM of 565,9823]= 2/5549995
Therefore, the GCF of 2234/565,5338/9823 is 2/5549995.
To find the highest common factor of 2234,5338, we have to find the factors of both numbers and list the highest common factor.
The factors of 2234 are 1, 2, 1117, 2234
The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338
The HCF of 2234,5338 is 2.
Lets's calculate GCF of 2234,5338
| 2 | 2234, 5338 |
| 1117, 2669 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2234,5338 By Matching Biggest Common Factor Method
Now, list down the factors of 2234
:1,2,1117,2234
Now, list down the factors of 5338
:1,2,17,34,157,314,2669,5338
Greatest Common Factor
We found the factors 2234,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 2234,5338 is 2.
Lets's calculate LCM of 565,9823
Given numbers has no common factors except 1. So, there LCM is their product i.e 5549995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5549995
Therefore, the GCF of Fractions 2234/565,5338/9823 is 2/5549995
Least Common Multiple of 565,9823 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 565,9823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,9823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,9823) x common factors =1 x 1 = 1
LCM(565,9823) = ( 565 × 9823 ) / 1
LCM(565,9823) = 5549995 / 1
LCM(565,9823) = 5549995
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2234/565, 5338/9823
1. What is the HCF of 2234,5338?
The HCF of 2234,5338 is 2
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 2234/565, 5338/9823?
Answer: GCF of Numerators as per given numbers 2234/565, 5338/9823 is
GCF of Numerators i.e. for 2234,5338 is 2
LCM of denominators i.e. for 565,9823 is 5549995.
Thus, GCF of Fractions is 2/5549995.Finally, GCF of Fractions for 2234/565, 5338/9823 is 2/5549995.