GCF of 511/12, 814/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/12, 814/815 i.e 1/9780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/12, 814/815.
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 511/12,814/815?
Given fractions are 511/12,814/815
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 511/12,814/815, numerators are 511,814
Denominators are 12,815
The GCF of 511,814 is 1 .
LCM of 12,815 is 9780.
The greatest common factor of 511/12,814/815 = [GCF of 511,814]/[LCM of 12,815]= 1/9780
Therefore, the GCF of 511/12,814/815 is 1/9780.
To find the highest common factor of 511,814, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The HCF of 511,814 is 1.
Lets's calculate GCF of 511,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,814 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 511,814 . The biggest common factor number is the GCF number.
So the greatest common factor 511,814 is 1.
Lets's calculate LCM of 12,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 9780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9780
Therefore, the GCF of Fractions 511/12,814/815 is 1/9780
Least Common Multiple of 12,815 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 12,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,815) x common factors =1 x 1 = 1
LCM(12,815) = ( 12 × 815 ) / 1
LCM(12,815) = 9780 / 1
LCM(12,815) = 9780
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FAQs on GCF of Fractions of 511/12, 814/815
1. What is the HCF of 511,814?
The HCF of 511,814 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 511/12, 814/815?
Answer: GCF of Numerators as per given numbers 511/12, 814/815 is
GCF of Numerators i.e. for 511,814 is 1
LCM of denominators i.e. for 12,815 is 9780.
Thus, GCF of Fractions is 1/9780.Finally, GCF of Fractions for 511/12, 814/815 is 1/9780.