Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/929,1279/754
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 666,1279
Greatest Common Factor of Numerators i.e. GCF of 666,1279 is 1 .
LCM of Denominators means LCM of 929,754 as per the given fractions.
LCM of 929,754 is 700466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 666,1279
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 1279
List of positive integer factors of 1279 that divides 1279 without a remainder.
1,1279
Greatest Common Factor
We found the factors 666,1279 . The biggest common factor number is the GCF number.
So the greatest common factor 666,1279 is 1.
Lets's calculate LCM of 929,754
Given numbers has no common factors except 1. So, there LCM is their product i.e 700466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700466
Therefore, the GCF of Fractions 666/929,1279/754 is 1/700466
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 929,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,754) x common factors =1 x 1 = 1
LCM(929,754) = ( 929 × 754 ) / 1
LCM(929,754) = 700466 / 1
LCM(929,754) = 700466
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 666/929, 1279/754?
Answer: GCF of Numerators as per given numbers 666/929, 1279/754 is
GCF of Numerators i.e. for 666,1279 is 1
LCM of denominators i.e. for 929,754 is 700466.
Thus, GCF of Fractions is 1/700466.Finally, GCF of Fractions for 666/929, 1279/754 is 1/700466.