GCF of 801/237, 819/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 801/237, 819/565 i.e 9/133905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 801/237, 819/565.
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 801/237,819/565?
Given fractions are 801/237,819/565
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 801/237,819/565, numerators are 801,819
Denominators are 237,565
The GCF of 801,819 is 9 .
LCM of 237,565 is 133905.
The greatest common factor of 801/237,819/565 = [GCF of 801,819]/[LCM of 237,565]= 9/133905
Therefore, the GCF of 801/237,819/565 is 9/133905.
To find the highest common factor of 801,819, we have to find the factors of both numbers and list the highest common factor.
The factors of 801 are 1, 3, 9, 89, 267, 801
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The HCF of 801,819 is 9.
Lets's calculate GCF of 801,819
| 3 | 801, 819 |
| 3 | 267, 273 |
| 89, 91 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 801,819 By Matching Biggest Common Factor Method
Now, list down the factors of 801
:1,3,9,89,267,801
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 801,819 . The biggest common factor number is the GCF number.
So the greatest common factor 801,819 is 9.
Lets's calculate LCM of 237,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 133905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/133905
Therefore, the GCF of Fractions 801/237,819/565 is 9/133905
Least Common Multiple of 237,565 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 237,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,565) x common factors =1 x 1 = 1
LCM(237,565) = ( 237 × 565 ) / 1
LCM(237,565) = 133905 / 1
LCM(237,565) = 133905
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FAQs on GCF of Fractions of 801/237, 819/565
1. What is the HCF of 801,819?
The HCF of 801,819 is 9
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 801/237, 819/565?
Answer: GCF of Numerators as per given numbers 801/237, 819/565 is
GCF of Numerators i.e. for 801,819 is 9
LCM of denominators i.e. for 237,565 is 133905.
Thus, GCF of Fractions is 9/133905.Finally, GCF of Fractions for 801/237, 819/565 is 9/133905.