Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/73,26/67,59/62,82/881
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 52,26,59,82
Greatest Common Factor of Numerators i.e. GCF of 52,26,59,82 is 1 .
LCM of Denominators means LCM of 73,67,62,881 as per the given fractions.
LCM of 73,67,62,881 is 267156202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,26,59,82
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Greatest Common Factor
We found the factors 52,26,59,82 . The biggest common factor number is the GCF number.
So the greatest common factor 52,26,59,82 is 1.
Lets's calculate LCM of 73,67,62,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 267156202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267156202
Therefore, the GCF of Fractions 52/73,26/67,59/62,82/881 is 1/267156202
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 73,67,62,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,67,62,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,67,62,881) x common factors =1 x 1 = 1
LCM(73,67,62,881) = ( 73 × 67 × 62 × 881 ) / 1
LCM(73,67,62,881) = 267156202 / 1
LCM(73,67,62,881) = 267156202
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 52/73, 26/67, 59/62, 82/881?
Answer: GCF of Numerators as per given numbers 52/73, 26/67, 59/62, 82/881 is
GCF of Numerators i.e. for 52,26,59,82 is 1
LCM of denominators i.e. for 73,67,62,881 is 267156202.
Thus, GCF of Fractions is 1/267156202.Finally, GCF of Fractions for 52/73, 26/67, 59/62, 82/881 is 1/267156202.