Use our free GCF of Fractions Calculator tool to compute the GCF of 890/573, 893/511 i.e 1/292803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/573, 893/511.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/573,893/511
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 890/573,893/511, numerators are 890,893
Denominators are 573,511
The GCF of 890,893 is 1 .
LCM of 573,511 is 292803.
The greatest common factor of 890/573,893/511 = [GCF of 890,893]/[LCM of 573,511]= 1/292803
Therefore, the GCF of 890/573,893/511 is 1/292803.
To find the highest common factor of 890,893, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 893 are 1, 19, 47, 893
The HCF of 890,893 is 1.
Lets's calculate GCF of 890,893
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 893
:1,19,47,893
Greatest Common Factor
We found the factors 890,893 . The biggest common factor number is the GCF number.
So the greatest common factor 890,893 is 1.
Lets's calculate LCM of 573,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 292803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292803
Therefore, the GCF of Fractions 890/573,893/511 is 1/292803
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 573,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,511) x common factors =1 x 1 = 1
LCM(573,511) = ( 573 × 511 ) / 1
LCM(573,511) = 292803 / 1
LCM(573,511) = 292803
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,893?
The HCF of 890,893 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 890/573, 893/511?
Answer: GCF of Numerators as per given numbers 890/573, 893/511 is
GCF of Numerators i.e. for 890,893 is 1
LCM of denominators i.e. for 573,511 is 292803.
Thus, GCF of Fractions is 1/292803.Finally, GCF of Fractions for 890/573, 893/511 is 1/292803.