Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7793/213,1650/9639
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 7793,1650
Greatest Common Factor of Numerators i.e. GCF of 7793,1650 is 1 .
LCM of Denominators means LCM of 213,9639 as per the given fractions.
LCM of 213,9639 is 684369 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7793,1650
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7793
List of positive integer factors of 7793 that divides 7793 without a remainder.
1,7793
Factors of 1650
List of positive integer factors of 1650 that divides 1650 without a remainder.
1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650
Greatest Common Factor
We found the factors 7793,1650 . The biggest common factor number is the GCF number.
So the greatest common factor 7793,1650 is 1.
Lets's calculate LCM of 213,9639
3 | 213, 9639 |
71, 3213 |
∴ So the LCM of the given numbers is 3 x 71 x 3213 = 684369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684369
Therefore, the GCF of Fractions 7793/213,1650/9639 is 1/684369
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 213,9639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,9639) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,9639) x common factors =3 x 1 = 3
LCM(213,9639) = ( 213 × 9639 ) / 3
LCM(213,9639) = 2053107 / 3
LCM(213,9639) = 684369
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 7793/213, 1650/9639?
Answer: GCF of Numerators as per given numbers 7793/213, 1650/9639 is
GCF of Numerators i.e. for 7793,1650 is 1
LCM of denominators i.e. for 213,9639 is 684369.
Thus, GCF of Fractions is 1/684369.Finally, GCF of Fractions for 7793/213, 1650/9639 is 1/684369.