Use our free GCF of Fractions Calculator tool to compute the GCF of 207/859, 803/535 i.e 1/459565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/859, 803/535.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/859,803/535
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 207/859,803/535, numerators are 207,803
Denominators are 859,535
The GCF of 207,803 is 1 .
LCM of 859,535 is 459565.
The greatest common factor of 207/859,803/535 = [GCF of 207,803]/[LCM of 859,535]= 1/459565
Therefore, the GCF of 207/859,803/535 is 1/459565.
To find the highest common factor of 207,803, we have to find the factors of both numbers and list the highest common factor.
The factors of 207 are 1, 3, 9, 23, 69, 207
The factors of 803 are 1, 11, 73, 803
The HCF of 207,803 is 1.
Lets's calculate GCF of 207,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 207
:1,3,9,23,69,207
Now, list down the factors of 803
:1,11,73,803
Greatest Common Factor
We found the factors 207,803 . The biggest common factor number is the GCF number.
So the greatest common factor 207,803 is 1.
Lets's calculate LCM of 859,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 459565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459565
Therefore, the GCF of Fractions 207/859,803/535 is 1/459565
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 859,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,535) x common factors =1 x 1 = 1
LCM(859,535) = ( 859 × 535 ) / 1
LCM(859,535) = 459565 / 1
LCM(859,535) = 459565
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 207,803?
The HCF of 207,803 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 207/859, 803/535?
Answer: GCF of Numerators as per given numbers 207/859, 803/535 is
GCF of Numerators i.e. for 207,803 is 1
LCM of denominators i.e. for 859,535 is 459565.
Thus, GCF of Fractions is 1/459565.Finally, GCF of Fractions for 207/859, 803/535 is 1/459565.