Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/65,303/84,318/623
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 50,303,318
Greatest Common Factor of Numerators i.e. GCF of 50,303,318 is 1 .
LCM of Denominators means LCM of 65,84,623 as per the given fractions.
LCM of 65,84,623 is 485940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,303,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 50,303,318 . The biggest common factor number is the GCF number.
So the greatest common factor 50,303,318 is 1.
Lets's calculate LCM of 65,84,623
7 | 65, 84, 623 |
65, 12, 89 |
∴ So the LCM of the given numbers is 7 x 65 x 12 x 89 = 485940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485940
Therefore, the GCF of Fractions 50/65,303/84,318/623 is 1/485940
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 65,84,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,84,623) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(65,84,623) x common factors =1 x 7 = 7
LCM(65,84,623) = ( 65 × 84 × 623 ) / 7
LCM(65,84,623) = 3401580 / 7
LCM(65,84,623) = 485940
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 50/65, 303/84, 318/623?
Answer: GCF of Numerators as per given numbers 50/65, 303/84, 318/623 is
GCF of Numerators i.e. for 50,303,318 is 1
LCM of denominators i.e. for 65,84,623 is 485940.
Thus, GCF of Fractions is 1/485940.Finally, GCF of Fractions for 50/65, 303/84, 318/623 is 1/485940.