Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/78,320/28,668/206
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 621,320,668
Greatest Common Factor of Numerators i.e. GCF of 621,320,668 is 1 .
LCM of Denominators means LCM of 78,28,206 as per the given fractions.
LCM of 78,28,206 is 112476 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 621,320,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 621,320,668 . The biggest common factor number is the GCF number.
So the greatest common factor 621,320,668 is 1.
Lets's calculate LCM of 78,28,206
2 | 78, 28, 206 |
39, 14, 103 |
∴ So the LCM of the given numbers is 2 x 39 x 14 x 103 = 112476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112476
Therefore, the GCF of Fractions 621/78,320/28,668/206 is 1/112476
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 78,28,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,28,206) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(78,28,206) x common factors =2 x 2 = 4
LCM(78,28,206) = ( 78 × 28 × 206 ) / 4
LCM(78,28,206) = 449904 / 4
LCM(78,28,206) = 112476
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 621/78, 320/28, 668/206?
Answer: GCF of Numerators as per given numbers 621/78, 320/28, 668/206 is
GCF of Numerators i.e. for 621,320,668 is 1
LCM of denominators i.e. for 78,28,206 is 112476.
Thus, GCF of Fractions is 1/112476.Finally, GCF of Fractions for 621/78, 320/28, 668/206 is 1/112476.