Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/84,33/21,80/267,470/706
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 6,33,80,470
Greatest Common Factor of Numerators i.e. GCF of 6,33,80,470 is 1 .
LCM of Denominators means LCM of 84,21,267,706 as per the given fractions.
LCM of 84,21,267,706 is 2639028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,33,80,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 6,33,80,470 . The biggest common factor number is the GCF number.
So the greatest common factor 6,33,80,470 is 1.
Lets's calculate LCM of 84,21,267,706
2 | 84, 21, 267, 706 |
3 | 42, 21, 267, 353 |
7 | 14, 7, 89, 353 |
2, 1, 89, 353 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 1 x 89 x 353 = 2639028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2639028
Therefore, the GCF of Fractions 6/84,33/21,80/267,470/706 is 1/2639028
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 84,21,267,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,21,267,706) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(84,21,267,706) x common factors =1 x 126 = 126
LCM(84,21,267,706) = ( 84 × 21 × 267 × 706 ) / 126
LCM(84,21,267,706) = 332517528 / 126
LCM(84,21,267,706) = 2639028
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 6/84, 33/21, 80/267, 470/706?
Answer: GCF of Numerators as per given numbers 6/84, 33/21, 80/267, 470/706 is
GCF of Numerators i.e. for 6,33,80,470 is 1
LCM of denominators i.e. for 84,21,267,706 is 2639028.
Thus, GCF of Fractions is 1/2639028.Finally, GCF of Fractions for 6/84, 33/21, 80/267, 470/706 is 1/2639028.