Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 477/67,619/17,333/683
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 477,619,333
Greatest Common Factor of Numerators i.e. GCF of 477,619,333 is 1 .
LCM of Denominators means LCM of 67,17,683 as per the given fractions.
LCM of 67,17,683 is 777937 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 477,619,333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 477,619,333 . The biggest common factor number is the GCF number.
So the greatest common factor 477,619,333 is 1.
Lets's calculate LCM of 67,17,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 777937
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/777937
Therefore, the GCF of Fractions 477/67,619/17,333/683 is 1/777937
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 67,17,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,17,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,17,683) x common factors =1 x 1 = 1
LCM(67,17,683) = ( 67 × 17 × 683 ) / 1
LCM(67,17,683) = 777937 / 1
LCM(67,17,683) = 777937
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 477/67, 619/17, 333/683?
Answer: GCF of Numerators as per given numbers 477/67, 619/17, 333/683 is
GCF of Numerators i.e. for 477,619,333 is 1
LCM of denominators i.e. for 67,17,683 is 777937.
Thus, GCF of Fractions is 1/777937.Finally, GCF of Fractions for 477/67, 619/17, 333/683 is 1/777937.