Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1780/55,4249/203
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 1780,4249
Greatest Common Factor of Numerators i.e. GCF of 1780,4249 is 1 .
LCM of Denominators means LCM of 55,203 as per the given fractions.
LCM of 55,203 is 11165 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1780,4249
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1780
List of positive integer factors of 1780 that divides 1780 without a remainder.
1,2,4,5,10,20,89,178,356,445,890,1780
Factors of 4249
List of positive integer factors of 4249 that divides 4249 without a remainder.
1,7,607,4249
Greatest Common Factor
We found the factors 1780,4249 . The biggest common factor number is the GCF number.
So the greatest common factor 1780,4249 is 1.
Lets's calculate LCM of 55,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 11165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11165
Therefore, the GCF of Fractions 1780/55,4249/203 is 1/11165
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 55,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,203) x common factors =1 x 1 = 1
LCM(55,203) = ( 55 × 203 ) / 1
LCM(55,203) = 11165 / 1
LCM(55,203) = 11165
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 1780/55, 4249/203?
Answer: GCF of Numerators as per given numbers 1780/55, 4249/203 is
GCF of Numerators i.e. for 1780,4249 is 1
LCM of denominators i.e. for 55,203 is 11165.
Thus, GCF of Fractions is 1/11165.Finally, GCF of Fractions for 1780/55, 4249/203 is 1/11165.