Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 746/26,269/67,666/237
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 746,269,666
Greatest Common Factor of Numerators i.e. GCF of 746,269,666 is 1 .
LCM of Denominators means LCM of 26,67,237 as per the given fractions.
LCM of 26,67,237 is 412854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 746,269,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 746,269,666 . The biggest common factor number is the GCF number.
So the greatest common factor 746,269,666 is 1.
Lets's calculate LCM of 26,67,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 412854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412854
Therefore, the GCF of Fractions 746/26,269/67,666/237 is 1/412854
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 26,67,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,67,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,67,237) x common factors =1 x 1 = 1
LCM(26,67,237) = ( 26 × 67 × 237 ) / 1
LCM(26,67,237) = 412854 / 1
LCM(26,67,237) = 412854
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 746/26, 269/67, 666/237?
Answer: GCF of Numerators as per given numbers 746/26, 269/67, 666/237 is
GCF of Numerators i.e. for 746,269,666 is 1
LCM of denominators i.e. for 26,67,237 is 412854.
Thus, GCF of Fractions is 1/412854.Finally, GCF of Fractions for 746/26, 269/67, 666/237 is 1/412854.