Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 219/939,7079/642
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 219,7079
Greatest Common Factor of Numerators i.e. GCF of 219,7079 is 1 .
LCM of Denominators means LCM of 939,642 as per the given fractions.
LCM of 939,642 is 200946 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 219,7079
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 7079
List of positive integer factors of 7079 that divides 7079 without a remainder.
1,7079
Greatest Common Factor
We found the factors 219,7079 . The biggest common factor number is the GCF number.
So the greatest common factor 219,7079 is 1.
Lets's calculate LCM of 939,642
3 | 939, 642 |
313, 214 |
∴ So the LCM of the given numbers is 3 x 313 x 214 = 200946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200946
Therefore, the GCF of Fractions 219/939,7079/642 is 1/200946
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 939,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,642) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,642) x common factors =3 x 1 = 3
LCM(939,642) = ( 939 × 642 ) / 3
LCM(939,642) = 602838 / 3
LCM(939,642) = 200946
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 219/939, 7079/642?
Answer: GCF of Numerators as per given numbers 219/939, 7079/642 is
GCF of Numerators i.e. for 219,7079 is 1
LCM of denominators i.e. for 939,642 is 200946.
Thus, GCF of Fractions is 1/200946.Finally, GCF of Fractions for 219/939, 7079/642 is 1/200946.