GCF of 902/20, 405/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 902/20, 405/565 i.e 1/2260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/20, 405/565.
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 902/20,405/565?
Given fractions are 902/20,405/565
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 902/20,405/565, numerators are 902,405
Denominators are 20,565
The GCF of 902,405 is 1 .
LCM of 20,565 is 2260.
The greatest common factor of 902/20,405/565 = [GCF of 902,405]/[LCM of 20,565]= 1/2260
Therefore, the GCF of 902/20,405/565 is 1/2260.
To find the highest common factor of 902,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 902,405 is 1.
Lets's calculate GCF of 902,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 902,405 By Matching Biggest Common Factor Method
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 902,405 . The biggest common factor number is the GCF number.
So the greatest common factor 902,405 is 1.
Lets's calculate LCM of 20,565
| 5 | 20, 565 |
| 4, 113 |
∴ So the LCM of the given numbers is 5 x 4 x 113 = 2260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2260
Therefore, the GCF of Fractions 902/20,405/565 is 1/2260
Least Common Multiple of 20,565 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 20,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,565) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,565) x common factors =5 x 1 = 5
LCM(20,565) = ( 20 × 565 ) / 5
LCM(20,565) = 11300 / 5
LCM(20,565) = 2260
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FAQs on GCF of Fractions of 902/20, 405/565
1. What is the HCF of 902,405?
The HCF of 902,405 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 902/20, 405/565?
Answer: GCF of Numerators as per given numbers 902/20, 405/565 is
GCF of Numerators i.e. for 902,405 is 1
LCM of denominators i.e. for 20,565 is 2260.
Thus, GCF of Fractions is 1/2260.Finally, GCF of Fractions for 902/20, 405/565 is 1/2260.