Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 359/58,888/62,379/773
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 359,888,379
Greatest Common Factor of Numerators i.e. GCF of 359,888,379 is 1 .
LCM of Denominators means LCM of 58,62,773 as per the given fractions.
LCM of 58,62,773 is 1389854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 359,888,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 359,888,379 . The biggest common factor number is the GCF number.
So the greatest common factor 359,888,379 is 1.
Lets's calculate LCM of 58,62,773
2 | 58, 62, 773 |
29, 31, 773 |
∴ So the LCM of the given numbers is 2 x 29 x 31 x 773 = 1389854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1389854
Therefore, the GCF of Fractions 359/58,888/62,379/773 is 1/1389854
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 58,62,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,62,773) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,62,773) x common factors =1 x 2 = 2
LCM(58,62,773) = ( 58 × 62 × 773 ) / 2
LCM(58,62,773) = 2779708 / 2
LCM(58,62,773) = 1389854
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 359/58, 888/62, 379/773?
Answer: GCF of Numerators as per given numbers 359/58, 888/62, 379/773 is
GCF of Numerators i.e. for 359,888,379 is 1
LCM of denominators i.e. for 58,62,773 is 1389854.
Thus, GCF of Fractions is 1/1389854.Finally, GCF of Fractions for 359/58, 888/62, 379/773 is 1/1389854.