GCF of 2023/506, 3941/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2023/506, 3941/438 i.e 7/110814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2023/506, 3941/438.
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 2023/506,3941/438?
Given fractions are 2023/506,3941/438
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 2023/506,3941/438, numerators are 2023,3941
Denominators are 506,438
The GCF of 2023,3941 is 7 .
LCM of 506,438 is 110814.
The greatest common factor of 2023/506,3941/438 = [GCF of 2023,3941]/[LCM of 506,438]= 7/110814
Therefore, the GCF of 2023/506,3941/438 is 7/110814.
To find the highest common factor of 2023,3941, we have to find the factors of both numbers and list the highest common factor.
The factors of 2023 are 1, 7, 17, 119, 289, 2023
The factors of 3941 are 1, 7, 563, 3941
The HCF of 2023,3941 is 7.
Lets's calculate GCF of 2023,3941
| 7 | 2023, 3941 |
| 289, 563 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2023,3941 By Matching Biggest Common Factor Method
Now, list down the factors of 2023
:1,7,17,119,289,2023
Now, list down the factors of 3941
:1,7,563,3941
Greatest Common Factor
We found the factors 2023,3941 . The biggest common factor number is the GCF number.
So the greatest common factor 2023,3941 is 7.
Lets's calculate LCM of 506,438
| 2 | 506, 438 |
| 253, 219 |
∴ So the LCM of the given numbers is 2 x 253 x 219 = 110814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/110814
Therefore, the GCF of Fractions 2023/506,3941/438 is 7/110814
Least Common Multiple of 506,438 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 506,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,438) x common factors =2 x 1 = 2
LCM(506,438) = ( 506 × 438 ) / 2
LCM(506,438) = 221628 / 2
LCM(506,438) = 110814
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FAQs on GCF of Fractions of 2023/506, 3941/438
1. What is the HCF of 2023,3941?
The HCF of 2023,3941 is 7
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 2023/506, 3941/438?
Answer: GCF of Numerators as per given numbers 2023/506, 3941/438 is
GCF of Numerators i.e. for 2023,3941 is 7
LCM of denominators i.e. for 506,438 is 110814.
Thus, GCF of Fractions is 7/110814.Finally, GCF of Fractions for 2023/506, 3941/438 is 7/110814.