Use our free GCF of Fractions Calculator tool to compute the GCF of 357/257, 479/562 i.e 1/144434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/257, 479/562.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/257,479/562
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 357/257,479/562, numerators are 357,479
Denominators are 257,562
The GCF of 357,479 is 1 .
LCM of 257,562 is 144434.
The greatest common factor of 357/257,479/562 = [GCF of 357,479]/[LCM of 257,562]= 1/144434
Therefore, the GCF of 357/257,479/562 is 1/144434.
To find the highest common factor of 357,479, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 479 are 1, 479
The HCF of 357,479 is 1.
Lets's calculate GCF of 357,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 479
:1,479
Greatest Common Factor
We found the factors 357,479 . The biggest common factor number is the GCF number.
So the greatest common factor 357,479 is 1.
Lets's calculate LCM of 257,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 144434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144434
Therefore, the GCF of Fractions 357/257,479/562 is 1/144434
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 257,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,562) x common factors =1 x 1 = 1
LCM(257,562) = ( 257 × 562 ) / 1
LCM(257,562) = 144434 / 1
LCM(257,562) = 144434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 357,479?
The HCF of 357,479 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 357/257, 479/562?
Answer: GCF of Numerators as per given numbers 357/257, 479/562 is
GCF of Numerators i.e. for 357,479 is 1
LCM of denominators i.e. for 257,562 is 144434.
Thus, GCF of Fractions is 1/144434.Finally, GCF of Fractions for 357/257, 479/562 is 1/144434.