Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/33,74/529,79/646
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 3,74,79
Greatest Common Factor of Numerators i.e. GCF of 3,74,79 is 1 .
LCM of Denominators means LCM of 33,529,646 as per the given fractions.
LCM of 33,529,646 is 11277222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,74,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 3,74,79 . The biggest common factor number is the GCF number.
So the greatest common factor 3,74,79 is 1.
Lets's calculate LCM of 33,529,646
Given numbers has no common factors except 1. So, there LCM is their product i.e 11277222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11277222
Therefore, the GCF of Fractions 3/33,74/529,79/646 is 1/11277222
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 33,529,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,529,646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,529,646) x common factors =1 x 1 = 1
LCM(33,529,646) = ( 33 × 529 × 646 ) / 1
LCM(33,529,646) = 11277222 / 1
LCM(33,529,646) = 11277222
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 3/33, 74/529, 79/646?
Answer: GCF of Numerators as per given numbers 3/33, 74/529, 79/646 is
GCF of Numerators i.e. for 3,74,79 is 1
LCM of denominators i.e. for 33,529,646 is 11277222.
Thus, GCF of Fractions is 1/11277222.Finally, GCF of Fractions for 3/33, 74/529, 79/646 is 1/11277222.