Use our free GCF of Fractions Calculator tool to compute the GCF of 511/884, 786/433 i.e 1/382772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/884, 786/433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/884,786/433
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 511/884,786/433, numerators are 511,786
Denominators are 884,433
The GCF of 511,786 is 1 .
LCM of 884,433 is 382772.
The greatest common factor of 511/884,786/433 = [GCF of 511,786]/[LCM of 884,433]= 1/382772
Therefore, the GCF of 511/884,786/433 is 1/382772.
To find the highest common factor of 511,786, 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 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 511,786 is 1.
Lets's calculate GCF of 511,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 511,786 . The biggest common factor number is the GCF number.
So the greatest common factor 511,786 is 1.
Lets's calculate LCM of 884,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 382772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382772
Therefore, the GCF of Fractions 511/884,786/433 is 1/382772
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 884,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,433) x common factors =1 x 1 = 1
LCM(884,433) = ( 884 × 433 ) / 1
LCM(884,433) = 382772 / 1
LCM(884,433) = 382772
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 511,786?
The HCF of 511,786 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 511/884, 786/433?
Answer: GCF of Numerators as per given numbers 511/884, 786/433 is
GCF of Numerators i.e. for 511,786 is 1
LCM of denominators i.e. for 884,433 is 382772.
Thus, GCF of Fractions is 1/382772.Finally, GCF of Fractions for 511/884, 786/433 is 1/382772.