Use our free GCF of Fractions Calculator tool to compute the GCF of 559/821, 760/368 i.e 1/302128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 559/821, 760/368.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 559/821,760/368
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 559/821,760/368, numerators are 559,760
Denominators are 821,368
The GCF of 559,760 is 1 .
LCM of 821,368 is 302128.
The greatest common factor of 559/821,760/368 = [GCF of 559,760]/[LCM of 821,368]= 1/302128
Therefore, the GCF of 559/821,760/368 is 1/302128.
To find the highest common factor of 559,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 559 are 1, 13, 43, 559
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 559,760 is 1.
Lets's calculate GCF of 559,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 559
:1,13,43,559
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 559,760 . The biggest common factor number is the GCF number.
So the greatest common factor 559,760 is 1.
Lets's calculate LCM of 821,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 302128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302128
Therefore, the GCF of Fractions 559/821,760/368 is 1/302128
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 821,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,368) x common factors =1 x 1 = 1
LCM(821,368) = ( 821 × 368 ) / 1
LCM(821,368) = 302128 / 1
LCM(821,368) = 302128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 559,760?
The HCF of 559,760 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 559/821, 760/368?
Answer: GCF of Numerators as per given numbers 559/821, 760/368 is
GCF of Numerators i.e. for 559,760 is 1
LCM of denominators i.e. for 821,368 is 302128.
Thus, GCF of Fractions is 1/302128.Finally, GCF of Fractions for 559/821, 760/368 is 1/302128.