Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1205/224,3730/5951
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 1205,3730
Greatest Common Factor of Numerators i.e. GCF of 1205,3730 is 5 .
LCM of Denominators means LCM of 224,5951 as per the given fractions.
LCM of 224,5951 is 1333024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1205,3730
5 | 1205, 3730 |
241, 746 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1,5,241,1205
Factors of 3730
List of positive integer factors of 3730 that divides 3730 without a remainder.
1,2,5,10,373,746,1865,3730
Greatest Common Factor
We found the factors 1205,3730 . The biggest common factor number is the GCF number.
So the greatest common factor 1205,3730 is 5.
Lets's calculate LCM of 224,5951
Given numbers has no common factors except 1. So, there LCM is their product i.e 1333024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1333024
Therefore, the GCF of Fractions 1205/224,3730/5951 is 5/1333024
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 224,5951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,5951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,5951) x common factors =1 x 1 = 1
LCM(224,5951) = ( 224 × 5951 ) / 1
LCM(224,5951) = 1333024 / 1
LCM(224,5951) = 1333024
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 1205/224, 3730/5951?
Answer: GCF of Numerators as per given numbers 1205/224, 3730/5951 is
GCF of Numerators i.e. for 1205,3730 is 5
LCM of denominators i.e. for 224,5951 is 1333024.
Thus, GCF of Fractions is 5/1333024.Finally, GCF of Fractions for 1205/224, 3730/5951 is 5/1333024.