Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 185/735,5550/5621
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 185,5550
Greatest Common Factor of Numerators i.e. GCF of 185,5550 is 185 .
LCM of Denominators means LCM of 735,5621 as per the given fractions.
LCM of 735,5621 is 590205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 185,5550
5 | 185, 5550 |
37 | 37, 1110 |
1, 30 |
∴ So the GCF of the given numbers is 5 x 37 = 185
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 5550
List of positive integer factors of 5550 that divides 5550 without a remainder.
1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550
Greatest Common Factor
We found the factors 185,5550 . The biggest common factor number is the GCF number.
So the greatest common factor 185,5550 is 185.
Lets's calculate LCM of 735,5621
7 | 735, 5621 |
105, 803 |
∴ So the LCM of the given numbers is 7 x 105 x 803 = 590205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 185/590205
Therefore, the GCF of Fractions 185/735,5550/5621 is 185/590205
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 735,5621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,5621) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,5621) x common factors =7 x 1 = 7
LCM(735,5621) = ( 735 × 5621 ) / 7
LCM(735,5621) = 4131435 / 7
LCM(735,5621) = 590205
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 185/735, 5550/5621?
Answer: GCF of Numerators as per given numbers 185/735, 5550/5621 is
GCF of Numerators i.e. for 185,5550 is 185
LCM of denominators i.e. for 735,5621 is 590205.
Thus, GCF of Fractions is 185/590205.Finally, GCF of Fractions for 185/735, 5550/5621 is 185/590205.