Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4366/925,4842/562
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 4366,4842
Greatest Common Factor of Numerators i.e. GCF of 4366,4842 is 2 .
LCM of Denominators means LCM of 925,562 as per the given fractions.
LCM of 925,562 is 519850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4366,4842
2 | 4366, 4842 |
2183, 2421 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4366
List of positive integer factors of 4366 that divides 4366 without a remainder.
1,2,37,59,74,118,2183,4366
Factors of 4842
List of positive integer factors of 4842 that divides 4842 without a remainder.
1,2,3,6,9,18,269,538,807,1614,2421,4842
Greatest Common Factor
We found the factors 4366,4842 . The biggest common factor number is the GCF number.
So the greatest common factor 4366,4842 is 2.
Lets's calculate LCM of 925,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 519850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/519850
Therefore, the GCF of Fractions 4366/925,4842/562 is 2/519850
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 925,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,562) x common factors =1 x 1 = 1
LCM(925,562) = ( 925 × 562 ) / 1
LCM(925,562) = 519850 / 1
LCM(925,562) = 519850
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 4366/925, 4842/562?
Answer: GCF of Numerators as per given numbers 4366/925, 4842/562 is
GCF of Numerators i.e. for 4366,4842 is 2
LCM of denominators i.e. for 925,562 is 519850.
Thus, GCF of Fractions is 2/519850.Finally, GCF of Fractions for 4366/925, 4842/562 is 2/519850.