Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/164,337/711,420/461
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 47,337,420
Greatest Common Factor of Numerators i.e. GCF of 47,337,420 is 1 .
LCM of Denominators means LCM of 164,711,461 as per the given fractions.
LCM of 164,711,461 is 53754444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,337,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 47,337,420 . The biggest common factor number is the GCF number.
So the greatest common factor 47,337,420 is 1.
Lets's calculate LCM of 164,711,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 53754444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53754444
Therefore, the GCF of Fractions 47/164,337/711,420/461 is 1/53754444
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 164,711,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,711,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,711,461) x common factors =1 x 1 = 1
LCM(164,711,461) = ( 164 × 711 × 461 ) / 1
LCM(164,711,461) = 53754444 / 1
LCM(164,711,461) = 53754444
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 47/164, 337/711, 420/461?
Answer: GCF of Numerators as per given numbers 47/164, 337/711, 420/461 is
GCF of Numerators i.e. for 47,337,420 is 1
LCM of denominators i.e. for 164,711,461 is 53754444.
Thus, GCF of Fractions is 1/53754444.Finally, GCF of Fractions for 47/164, 337/711, 420/461 is 1/53754444.