Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 842/524,538/509
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 842,538
Greatest Common Factor of Numerators i.e. GCF of 842,538 is 2 .
LCM of Denominators means LCM of 524,509 as per the given fractions.
LCM of 524,509 is 266716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 842,538
2 | 842, 538 |
421, 269 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Greatest Common Factor
We found the factors 842,538 . The biggest common factor number is the GCF number.
So the greatest common factor 842,538 is 2.
Lets's calculate LCM of 524,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 266716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/266716
Therefore, the GCF of Fractions 842/524,538/509 is 2/266716
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 524,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(524,509) x common factors =1 x 1 = 1
LCM(524,509) = ( 524 × 509 ) / 1
LCM(524,509) = 266716 / 1
LCM(524,509) = 266716
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 842/524, 538/509?
Answer: GCF of Numerators as per given numbers 842/524, 538/509 is
GCF of Numerators i.e. for 842,538 is 2
LCM of denominators i.e. for 524,509 is 266716.
Thus, GCF of Fractions is 2/266716.Finally, GCF of Fractions for 842/524, 538/509 is 2/266716.