Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/86,9/72,17/28,16/693
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 2,9,17,16
Greatest Common Factor of Numerators i.e. GCF of 2,9,17,16 is 1 .
LCM of Denominators means LCM of 86,72,28,693 as per the given fractions.
LCM of 86,72,28,693 is 238392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,9,17,16
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Greatest Common Factor
We found the factors 2,9,17,16 . The biggest common factor number is the GCF number.
So the greatest common factor 2,9,17,16 is 1.
Lets's calculate LCM of 86,72,28,693
2 | 86, 72, 28, 693 |
2 | 43, 36, 14, 693 |
3 | 43, 18, 7, 693 |
3 | 43, 6, 7, 231 |
7 | 43, 2, 7, 77 |
43, 2, 1, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 43 x 2 x 1 x 11 = 238392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238392
Therefore, the GCF of Fractions 2/86,9/72,17/28,16/693 is 1/238392
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 86,72,28,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,72,28,693) = 1
common factors(in case of two or more numbers have common factors) = 504
GCF(86,72,28,693) x common factors =1 x 504 = 504
LCM(86,72,28,693) = ( 86 × 72 × 28 × 693 ) / 504
LCM(86,72,28,693) = 120149568 / 504
LCM(86,72,28,693) = 238392
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 2/86, 9/72, 17/28, 16/693?
Answer: GCF of Numerators as per given numbers 2/86, 9/72, 17/28, 16/693 is
GCF of Numerators i.e. for 2,9,17,16 is 1
LCM of denominators i.e. for 86,72,28,693 is 238392.
Thus, GCF of Fractions is 1/238392.Finally, GCF of Fractions for 2/86, 9/72, 17/28, 16/693 is 1/238392.