Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3926/522,5562/8754
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 3926,5562
Greatest Common Factor of Numerators i.e. GCF of 3926,5562 is 2 .
LCM of Denominators means LCM of 522,8754 as per the given fractions.
LCM of 522,8754 is 761598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3926,5562
2 | 3926, 5562 |
1963, 2781 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3926
List of positive integer factors of 3926 that divides 3926 without a remainder.
1,2,13,26,151,302,1963,3926
Factors of 5562
List of positive integer factors of 5562 that divides 5562 without a remainder.
1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562
Greatest Common Factor
We found the factors 3926,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 3926,5562 is 2.
Lets's calculate LCM of 522,8754
2 | 522, 8754 |
3 | 261, 4377 |
87, 1459 |
∴ So the LCM of the given numbers is 2 x 3 x 87 x 1459 = 761598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/761598
Therefore, the GCF of Fractions 3926/522,5562/8754 is 2/761598
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 522,8754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,8754) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(522,8754) x common factors =6 x 1 = 6
LCM(522,8754) = ( 522 × 8754 ) / 6
LCM(522,8754) = 4569588 / 6
LCM(522,8754) = 761598
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 3926/522, 5562/8754?
Answer: GCF of Numerators as per given numbers 3926/522, 5562/8754 is
GCF of Numerators i.e. for 3926,5562 is 2
LCM of denominators i.e. for 522,8754 is 761598.
Thus, GCF of Fractions is 2/761598.Finally, GCF of Fractions for 3926/522, 5562/8754 is 2/761598.