Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8414/61,2045/512
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 8414,2045
Greatest Common Factor of Numerators i.e. GCF of 8414,2045 is 1 .
LCM of Denominators means LCM of 61,512 as per the given fractions.
LCM of 61,512 is 31232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8414,2045
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8414
List of positive integer factors of 8414 that divides 8414 without a remainder.
1,2,7,14,601,1202,4207,8414
Factors of 2045
List of positive integer factors of 2045 that divides 2045 without a remainder.
1,5,409,2045
Greatest Common Factor
We found the factors 8414,2045 . The biggest common factor number is the GCF number.
So the greatest common factor 8414,2045 is 1.
Lets's calculate LCM of 61,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 31232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31232
Therefore, the GCF of Fractions 8414/61,2045/512 is 1/31232
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 61,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,512) x common factors =1 x 1 = 1
LCM(61,512) = ( 61 × 512 ) / 1
LCM(61,512) = 31232 / 1
LCM(61,512) = 31232
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 8414/61, 2045/512?
Answer: GCF of Numerators as per given numbers 8414/61, 2045/512 is
GCF of Numerators i.e. for 8414,2045 is 1
LCM of denominators i.e. for 61,512 is 31232.
Thus, GCF of Fractions is 1/31232.Finally, GCF of Fractions for 8414/61, 2045/512 is 1/31232.