Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/177,5055/6217
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 59,5055
Greatest Common Factor of Numerators i.e. GCF of 59,5055 is 1 .
LCM of Denominators means LCM of 177,6217 as per the given fractions.
LCM of 177,6217 is 1100409 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,5055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 5055
List of positive integer factors of 5055 that divides 5055 without a remainder.
1,3,5,15,337,1011,1685,5055
Greatest Common Factor
We found the factors 59,5055 . The biggest common factor number is the GCF number.
So the greatest common factor 59,5055 is 1.
Lets's calculate LCM of 177,6217
Given numbers has no common factors except 1. So, there LCM is their product i.e 1100409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1100409
Therefore, the GCF of Fractions 59/177,5055/6217 is 1/1100409
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 177,6217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,6217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,6217) x common factors =1 x 1 = 1
LCM(177,6217) = ( 177 × 6217 ) / 1
LCM(177,6217) = 1100409 / 1
LCM(177,6217) = 1100409
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 59/177, 5055/6217?
Answer: GCF of Numerators as per given numbers 59/177, 5055/6217 is
GCF of Numerators i.e. for 59,5055 is 1
LCM of denominators i.e. for 177,6217 is 1100409.
Thus, GCF of Fractions is 1/1100409.Finally, GCF of Fractions for 59/177, 5055/6217 is 1/1100409.