Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/91,36/13,64/39,76/599
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 16,36,64,76
Greatest Common Factor of Numerators i.e. GCF of 16,36,64,76 is 4 .
LCM of Denominators means LCM of 91,13,39,599 as per the given fractions.
LCM of 91,13,39,599 is 163527 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,36,64,76
2 | 16, 36, 64, 76 |
2 | 8, 18, 32, 38 |
4, 9, 16, 19 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Greatest Common Factor
We found the factors 16,36,64,76 . The biggest common factor number is the GCF number.
So the greatest common factor 16,36,64,76 is 4.
Lets's calculate LCM of 91,13,39,599
13 | 91, 13, 39, 599 |
7, 1, 3, 599 |
∴ So the LCM of the given numbers is 13 x 7 x 1 x 3 x 599 = 163527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/163527
Therefore, the GCF of Fractions 16/91,36/13,64/39,76/599 is 4/163527
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 91,13,39,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,13,39,599) = 1
common factors(in case of two or more numbers have common factors) = 169
GCF(91,13,39,599) x common factors =1 x 169 = 169
LCM(91,13,39,599) = ( 91 × 13 × 39 × 599 ) / 169
LCM(91,13,39,599) = 27636063 / 169
LCM(91,13,39,599) = 163527
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 16/91, 36/13, 64/39, 76/599?
Answer: GCF of Numerators as per given numbers 16/91, 36/13, 64/39, 76/599 is
GCF of Numerators i.e. for 16,36,64,76 is 4
LCM of denominators i.e. for 91,13,39,599 is 163527.
Thus, GCF of Fractions is 4/163527.Finally, GCF of Fractions for 16/91, 36/13, 64/39, 76/599 is 4/163527.