Use our free GCF of Fractions Calculator tool to compute the GCF of 842/509, 921/562 i.e 1/286058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/509, 921/562.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 842/509,921/562
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 842/509,921/562, numerators are 842,921
Denominators are 509,562
The GCF of 842,921 is 1 .
LCM of 509,562 is 286058.
The greatest common factor of 842/509,921/562 = [GCF of 842,921]/[LCM of 509,562]= 1/286058
Therefore, the GCF of 842/509,921/562 is 1/286058.
To find the highest common factor of 842,921, we have to find the factors of both numbers and list the highest common factor.
The factors of 842 are 1, 2, 421, 842
The factors of 921 are 1, 3, 307, 921
The HCF of 842,921 is 1.
Lets's calculate GCF of 842,921
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 921
:1,3,307,921
Greatest Common Factor
We found the factors 842,921 . The biggest common factor number is the GCF number.
So the greatest common factor 842,921 is 1.
Lets's calculate LCM of 509,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 286058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286058
Therefore, the GCF of Fractions 842/509,921/562 is 1/286058
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 509,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,562) x common factors =1 x 1 = 1
LCM(509,562) = ( 509 × 562 ) / 1
LCM(509,562) = 286058 / 1
LCM(509,562) = 286058
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 842,921?
The HCF of 842,921 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 842/509, 921/562?
Answer: GCF of Numerators as per given numbers 842/509, 921/562 is
GCF of Numerators i.e. for 842,921 is 1
LCM of denominators i.e. for 509,562 is 286058.
Thus, GCF of Fractions is 1/286058.Finally, GCF of Fractions for 842/509, 921/562 is 1/286058.