GCF of 5653/409, 2023/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5653/409, 2023/409 i.e 1/409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5653/409, 2023/409.
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 5653/409,2023/409?
Given fractions are 5653/409,2023/409
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 5653/409,2023/409, numerators are 5653,2023
Denominators are 409,409
The GCF of 5653,2023 is 1 .
LCM of 409,409 is 409.
The greatest common factor of 5653/409,2023/409 = [GCF of 5653,2023]/[LCM of 409,409]= 1/409
Therefore, the GCF of 5653/409,2023/409 is 1/409.
To find the highest common factor of 5653,2023, we have to find the factors of both numbers and list the highest common factor.
The factors of 5653 are 1, 5653
The factors of 2023 are 1, 7, 17, 119, 289, 2023
The HCF of 5653,2023 is 1.
Lets's calculate GCF of 5653,2023
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5653,2023 By Matching Biggest Common Factor Method
Now, list down the factors of 5653
:1,5653
Now, list down the factors of 2023
:1,7,17,119,289,2023
Greatest Common Factor
We found the factors 5653,2023 . The biggest common factor number is the GCF number.
So the greatest common factor 5653,2023 is 1.
Lets's calculate LCM of 409,409
| 409 | 409, 409 |
| 1, 1 |
∴ So the LCM of the given numbers is 409 x 1 x 1 = 409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409
Therefore, the GCF of Fractions 5653/409,2023/409 is 1/409
Least Common Multiple of 409,409 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 409,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,409) = 409
common factors(in case of two or more numbers have common factors) = 1
GCF(409,409) x common factors =409 x 1 = 409
LCM(409,409) = ( 409 × 409 ) / 409
LCM(409,409) = 167281 / 409
LCM(409,409) = 409
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FAQs on GCF of Fractions of 5653/409, 2023/409
1. What is the HCF of 5653,2023?
The HCF of 5653,2023 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 5653/409, 2023/409?
Answer: GCF of Numerators as per given numbers 5653/409, 2023/409 is
GCF of Numerators i.e. for 5653,2023 is 1
LCM of denominators i.e. for 409,409 is 409.
Thus, GCF of Fractions is 1/409.Finally, GCF of Fractions for 5653/409, 2023/409 is 1/409.