Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/67,27/86,137/761
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 61,27,137
Greatest Common Factor of Numerators i.e. GCF of 61,27,137 is 1 .
LCM of Denominators means LCM of 67,86,761 as per the given fractions.
LCM of 67,86,761 is 4384882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,27,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 61,27,137 . The biggest common factor number is the GCF number.
So the greatest common factor 61,27,137 is 1.
Lets's calculate LCM of 67,86,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 4384882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4384882
Therefore, the GCF of Fractions 61/67,27/86,137/761 is 1/4384882
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 67,86,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,86,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,86,761) x common factors =1 x 1 = 1
LCM(67,86,761) = ( 67 × 86 × 761 ) / 1
LCM(67,86,761) = 4384882 / 1
LCM(67,86,761) = 4384882
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 61/67, 27/86, 137/761?
Answer: GCF of Numerators as per given numbers 61/67, 27/86, 137/761 is
GCF of Numerators i.e. for 61,27,137 is 1
LCM of denominators i.e. for 67,86,761 is 4384882.
Thus, GCF of Fractions is 1/4384882.Finally, GCF of Fractions for 61/67, 27/86, 137/761 is 1/4384882.