GCF of 511/47, 512/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/47, 512/135 i.e 1/6345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/47, 512/135.
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 511/47,512/135?
Given fractions are 511/47,512/135
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 511/47,512/135, numerators are 511,512
Denominators are 47,135
The GCF of 511,512 is 1 .
LCM of 47,135 is 6345.
The greatest common factor of 511/47,512/135 = [GCF of 511,512]/[LCM of 47,135]= 1/6345
Therefore, the GCF of 511/47,512/135 is 1/6345.
To find the highest common factor of 511,512, 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 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 511,512 is 1.
Lets's calculate GCF of 511,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,512 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 511,512 . The biggest common factor number is the GCF number.
So the greatest common factor 511,512 is 1.
Lets's calculate LCM of 47,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 6345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6345
Therefore, the GCF of Fractions 511/47,512/135 is 1/6345
Least Common Multiple of 47,135 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 47,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,135) x common factors =1 x 1 = 1
LCM(47,135) = ( 47 × 135 ) / 1
LCM(47,135) = 6345 / 1
LCM(47,135) = 6345
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 511/47, 512/135
1. What is the HCF of 511,512?
The HCF of 511,512 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 511/47, 512/135?
Answer: GCF of Numerators as per given numbers 511/47, 512/135 is
GCF of Numerators i.e. for 511,512 is 1
LCM of denominators i.e. for 47,135 is 6345.
Thus, GCF of Fractions is 1/6345.Finally, GCF of Fractions for 511/47, 512/135 is 1/6345.