Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/850,775/937,445/417
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 818,775,445
Greatest Common Factor of Numerators i.e. GCF of 818,775,445 is 1 .
LCM of Denominators means LCM of 850,937,417 as per the given fractions.
LCM of 850,937,417 is 332119650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,775,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 818,775,445 . The biggest common factor number is the GCF number.
So the greatest common factor 818,775,445 is 1.
Lets's calculate LCM of 850,937,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 332119650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332119650
Therefore, the GCF of Fractions 818/850,775/937,445/417 is 1/332119650
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 850,937,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,937,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(850,937,417) x common factors =1 x 1 = 1
LCM(850,937,417) = ( 850 × 937 × 417 ) / 1
LCM(850,937,417) = 332119650 / 1
LCM(850,937,417) = 332119650
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 818/850, 775/937, 445/417?
Answer: GCF of Numerators as per given numbers 818/850, 775/937, 445/417 is
GCF of Numerators i.e. for 818,775,445 is 1
LCM of denominators i.e. for 850,937,417 is 332119650.
Thus, GCF of Fractions is 1/332119650.Finally, GCF of Fractions for 818/850, 775/937, 445/417 is 1/332119650.