Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/93,646/75,519/944
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 420,646,519
Greatest Common Factor of Numerators i.e. GCF of 420,646,519 is 1 .
LCM of Denominators means LCM of 93,75,944 as per the given fractions.
LCM of 93,75,944 is 2194800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,646,519
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 420,646,519 . The biggest common factor number is the GCF number.
So the greatest common factor 420,646,519 is 1.
Lets's calculate LCM of 93,75,944
3 | 93, 75, 944 |
31, 25, 944 |
∴ So the LCM of the given numbers is 3 x 31 x 25 x 944 = 2194800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2194800
Therefore, the GCF of Fractions 420/93,646/75,519/944 is 1/2194800
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 93,75,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,75,944) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,75,944) x common factors =1 x 3 = 3
LCM(93,75,944) = ( 93 × 75 × 944 ) / 3
LCM(93,75,944) = 6584400 / 3
LCM(93,75,944) = 2194800
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 420/93, 646/75, 519/944?
Answer: GCF of Numerators as per given numbers 420/93, 646/75, 519/944 is
GCF of Numerators i.e. for 420,646,519 is 1
LCM of denominators i.e. for 93,75,944 is 2194800.
Thus, GCF of Fractions is 1/2194800.Finally, GCF of Fractions for 420/93, 646/75, 519/944 is 1/2194800.