Use our free GCF of Fractions Calculator tool to compute the GCF of 791/282, 120/559 i.e 1/157638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/282, 120/559.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/282,120/559
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 791/282,120/559, numerators are 791,120
Denominators are 282,559
The GCF of 791,120 is 1 .
LCM of 282,559 is 157638.
The greatest common factor of 791/282,120/559 = [GCF of 791,120]/[LCM of 282,559]= 1/157638
Therefore, the GCF of 791/282,120/559 is 1/157638.
To find the highest common factor of 791,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 791,120 is 1.
Lets's calculate GCF of 791,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 791,120 . The biggest common factor number is the GCF number.
So the greatest common factor 791,120 is 1.
Lets's calculate LCM of 282,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 157638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157638
Therefore, the GCF of Fractions 791/282,120/559 is 1/157638
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 282,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,559) x common factors =1 x 1 = 1
LCM(282,559) = ( 282 × 559 ) / 1
LCM(282,559) = 157638 / 1
LCM(282,559) = 157638
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 791,120?
The HCF of 791,120 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 791/282, 120/559?
Answer: GCF of Numerators as per given numbers 791/282, 120/559 is
GCF of Numerators i.e. for 791,120 is 1
LCM of denominators i.e. for 282,559 is 157638.
Thus, GCF of Fractions is 1/157638.Finally, GCF of Fractions for 791/282, 120/559 is 1/157638.