Use our free GCF of Fractions Calculator tool to compute the GCF of 227/257, 320/587 i.e 1/150859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/257, 320/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/257,320/587
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 227/257,320/587, numerators are 227,320
Denominators are 257,587
The GCF of 227,320 is 1 .
LCM of 257,587 is 150859.
The greatest common factor of 227/257,320/587 = [GCF of 227,320]/[LCM of 257,587]= 1/150859
Therefore, the GCF of 227/257,320/587 is 1/150859.
To find the highest common factor of 227,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 227,320 is 1.
Lets's calculate GCF of 227,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 227
:1,227
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 227,320 . The biggest common factor number is the GCF number.
So the greatest common factor 227,320 is 1.
Lets's calculate LCM of 257,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 150859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150859
Therefore, the GCF of Fractions 227/257,320/587 is 1/150859
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 257,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,587) x common factors =1 x 1 = 1
LCM(257,587) = ( 257 × 587 ) / 1
LCM(257,587) = 150859 / 1
LCM(257,587) = 150859
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 227,320?
The HCF of 227,320 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 227/257, 320/587?
Answer: GCF of Numerators as per given numbers 227/257, 320/587 is
GCF of Numerators i.e. for 227,320 is 1
LCM of denominators i.e. for 257,587 is 150859.
Thus, GCF of Fractions is 1/150859.Finally, GCF of Fractions for 227/257, 320/587 is 1/150859.