Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 933/86,633/10,374/626
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 933,633,374
Greatest Common Factor of Numerators i.e. GCF of 933,633,374 is 1 .
LCM of Denominators means LCM of 86,10,626 as per the given fractions.
LCM of 86,10,626 is 134590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 933,633,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 933,633,374 . The biggest common factor number is the GCF number.
So the greatest common factor 933,633,374 is 1.
Lets's calculate LCM of 86,10,626
2 | 86, 10, 626 |
43, 5, 313 |
∴ So the LCM of the given numbers is 2 x 43 x 5 x 313 = 134590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134590
Therefore, the GCF of Fractions 933/86,633/10,374/626 is 1/134590
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 86,10,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,10,626) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,10,626) x common factors =2 x 2 = 4
LCM(86,10,626) = ( 86 × 10 × 626 ) / 4
LCM(86,10,626) = 538360 / 4
LCM(86,10,626) = 134590
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 933/86, 633/10, 374/626?
Answer: GCF of Numerators as per given numbers 933/86, 633/10, 374/626 is
GCF of Numerators i.e. for 933,633,374 is 1
LCM of denominators i.e. for 86,10,626 is 134590.
Thus, GCF of Fractions is 1/134590.Finally, GCF of Fractions for 933/86, 633/10, 374/626 is 1/134590.